2020-04-17 15:11:12 -04:00
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subroutine osd174_101(llr,k,apmask,ndeep,message101,cw,nhardmin,dmin)
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!
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! An ordered-statistics decoder for the (174,101) code.
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! Message payload is 77 bits. Any or all of a 24-bit CRC can be
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! used for detecting incorrect codewords. The remaining CRC bits are
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! cascaded with the LDPC code for the purpose of improving the
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! distance spectrum of the code.
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!
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! If p1 (0.le.p1.le.24) is the number of CRC24 bits that are
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! to be used for bad codeword detection, then the argument k should
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! be set to 77+p1.
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!
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! Valid values for k are in the range [77,101].
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!
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character*24 c24
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integer, parameter:: N=174
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integer*1 apmask(N),apmaskr(N)
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integer*1, allocatable, save :: gen(:,:)
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integer*1, allocatable :: genmrb(:,:),g2(:,:)
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integer*1, allocatable :: temp(:),m0(:),me(:),mi(:),misub(:),e2sub(:),e2(:),ui(:)
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integer*1, allocatable :: r2pat(:)
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integer indices(N),nxor(N)
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integer*1 cw(N),ce(N),c0(N),hdec(N)
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integer*1, allocatable :: decoded(:)
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2020-04-22 11:36:48 -04:00
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integer*1 message101(101)
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2020-04-17 15:11:12 -04:00
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integer indx(N)
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real llr(N),rx(N),absrx(N)
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logical first,reset
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data first/.true./
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save first
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allocate( genmrb(k,N), g2(N,k) )
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allocate( temp(k), m0(k), me(k), mi(k), misub(k), e2sub(N-k), e2(N-k), ui(N-k) )
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allocate( r2pat(N-k), decoded(k) )
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if( first ) then ! fill the generator matrix
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!
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! Create generator matrix for partial CRC cascaded with LDPC code.
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!
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! Let p2=101-k and p1+p2=24.
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!
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! The last p2 bits of the CRC24 are cascaded with the LDPC code.
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!
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! The first p1=k-77 CRC24 bits will be used for error detection.
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!
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allocate( gen(k,N) )
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gen=0
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do i=1,k
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message101=0
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message101(i)=1
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if(i.le.77) then
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call get_crc24(message101,101,ncrc24)
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write(c24,'(b24.24)') ncrc24
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read(c24,'(24i1)') message101(78:101)
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message101(78:k)=0
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endif
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call encode174_101(message101,cw)
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gen(i,:)=cw
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enddo
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first=.false.
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endif
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rx=llr
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apmaskr=apmask
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! Hard decisions on the received word.
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hdec=0
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where(rx .ge. 0) hdec=1
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! Use magnitude of received symbols as a measure of reliability.
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absrx=abs(rx)
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call indexx(absrx,N,indx)
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! Re-order the columns of the generator matrix in order of decreasing reliability.
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do i=1,N
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genmrb(1:k,i)=gen(1:k,indx(N+1-i))
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indices(i)=indx(N+1-i)
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enddo
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! Do gaussian elimination to create a generator matrix with the most reliable
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! received bits in positions 1:k in order of decreasing reliability (more or less).
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do id=1,k ! diagonal element indices
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do icol=id,k+20 ! The 20 is ad hoc - beware
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iflag=0
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if( genmrb(id,icol) .eq. 1 ) then
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iflag=1
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if( icol .ne. id ) then ! reorder column
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temp(1:k)=genmrb(1:k,id)
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genmrb(1:k,id)=genmrb(1:k,icol)
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genmrb(1:k,icol)=temp(1:k)
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itmp=indices(id)
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indices(id)=indices(icol)
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indices(icol)=itmp
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endif
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do ii=1,k
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if( ii .ne. id .and. genmrb(ii,id) .eq. 1 ) then
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genmrb(ii,1:N)=ieor(genmrb(ii,1:N),genmrb(id,1:N))
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endif
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enddo
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exit
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endif
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enddo
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enddo
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g2=transpose(genmrb)
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! The hard decisions for the k MRB bits define the order 0 message, m0.
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! Encode m0 using the modified generator matrix to find the "order 0" codeword.
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! Flip various combinations of bits in m0 and re-encode to generate a list of
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! codewords. Return the member of the list that has the smallest Euclidean
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! distance to the received word.
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hdec=hdec(indices) ! hard decisions from received symbols
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m0=hdec(1:k) ! zero'th order message
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absrx=absrx(indices)
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rx=rx(indices)
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apmaskr=apmaskr(indices)
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call mrbencode101(m0,c0,g2,N,k)
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nxor=ieor(c0,hdec)
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nhardmin=sum(nxor)
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dmin=sum(nxor*absrx)
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cw=c0
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ntotal=0
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nrejected=0
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npre1=0
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npre2=0
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if(ndeep.eq.0) goto 998 ! norder=0
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if(ndeep.gt.6) ndeep=6
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if( ndeep.eq. 1) then
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nord=1
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npre1=0
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npre2=0
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nt=40
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ntheta=12
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elseif(ndeep.eq.2) then
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nord=1
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npre1=1
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npre2=0
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nt=40
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ntheta=12
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elseif(ndeep.eq.3) then
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nord=1
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npre1=1
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npre2=1
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nt=40
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ntheta=12
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ntau=14
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elseif(ndeep.eq.4) then
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nord=2
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npre1=1
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npre2=1
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nt=40
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ntheta=12
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ntau=19
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elseif(ndeep.eq.5) then
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nord=3
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npre1=1
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npre2=1
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nt=40
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ntheta=12
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ntau=19
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elseif(ndeep.eq.6) then
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nord=4
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npre1=1
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npre2=1
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nt=40
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ntheta=12
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ntau=19
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endif
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do iorder=1,nord
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misub(1:k-iorder)=0
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misub(k-iorder+1:k)=1
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iflag=k-iorder+1
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do while(iflag .ge.0)
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if(iorder.eq.nord .and. npre1.eq.0) then
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iend=iflag
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else
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iend=1
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endif
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d1=0.
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do n1=iflag,iend,-1
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mi=misub
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mi(n1)=1
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if(any(iand(apmaskr(1:k),mi).eq.1)) cycle
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ntotal=ntotal+1
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me=ieor(m0,mi)
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if(n1.eq.iflag) then
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call mrbencode101(me,ce,g2,N,k)
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e2sub=ieor(ce(k+1:N),hdec(k+1:N))
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e2=e2sub
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nd1kpt=sum(e2sub(1:nt))+1
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d1=sum(ieor(me(1:k),hdec(1:k))*absrx(1:k))
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else
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e2=ieor(e2sub,g2(k+1:N,n1))
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nd1kpt=sum(e2(1:nt))+2
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endif
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if(nd1kpt .le. ntheta) then
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call mrbencode101(me,ce,g2,N,k)
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nxor=ieor(ce,hdec)
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if(n1.eq.iflag) then
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dd=d1+sum(e2sub*absrx(k+1:N))
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else
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dd=d1+ieor(ce(n1),hdec(n1))*absrx(n1)+sum(e2*absrx(k+1:N))
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endif
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if( dd .lt. dmin ) then
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dmin=dd
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cw=ce
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nhardmin=sum(nxor)
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nd1kptbest=nd1kpt
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endif
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else
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nrejected=nrejected+1
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endif
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enddo
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! Get the next test error pattern, iflag will go negative
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! when the last pattern with weight iorder has been generated.
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call nextpat101(misub,k,iorder,iflag)
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enddo
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enddo
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if(npre2.eq.1) then
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reset=.true.
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ntotal=0
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do i1=k,1,-1
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do i2=i1-1,1,-1
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ntotal=ntotal+1
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mi(1:ntau)=ieor(g2(k+1:k+ntau,i1),g2(k+1:k+ntau,i2))
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call boxit101(reset,mi(1:ntau),ntau,ntotal,i1,i2)
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enddo
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enddo
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ncount2=0
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ntotal2=0
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reset=.true.
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! Now run through again and do the second pre-processing rule
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misub(1:k-nord)=0
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misub(k-nord+1:k)=1
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iflag=k-nord+1
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do while(iflag .ge.0)
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me=ieor(m0,misub)
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call mrbencode101(me,ce,g2,N,k)
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e2sub=ieor(ce(k+1:N),hdec(k+1:N))
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do i2=0,ntau
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ntotal2=ntotal2+1
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ui=0
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if(i2.gt.0) ui(i2)=1
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r2pat=ieor(e2sub,ui)
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778 continue
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call fetchit101(reset,r2pat(1:ntau),ntau,in1,in2)
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if(in1.gt.0.and.in2.gt.0) then
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ncount2=ncount2+1
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mi=misub
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mi(in1)=1
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mi(in2)=1
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if(sum(mi).lt.nord+npre1+npre2.or.any(iand(apmaskr(1:k),mi).eq.1)) cycle
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me=ieor(m0,mi)
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call mrbencode101(me,ce,g2,N,k)
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nxor=ieor(ce,hdec)
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dd=sum(nxor*absrx)
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if( dd .lt. dmin ) then
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dmin=dd
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cw=ce
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nhardmin=sum(nxor)
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endif
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goto 778
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endif
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enddo
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call nextpat101(misub,k,nord,iflag)
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enddo
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endif
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998 continue
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! Re-order the codeword to [message bits][parity bits] format.
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cw(indices)=cw
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hdec(indices)=hdec
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message101=cw(1:101)
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call get_crc24(message101,101,nbadcrc)
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if(nbadcrc.ne.0) nhardmin=-nhardmin
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return
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end subroutine osd174_101
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subroutine mrbencode101(me,codeword,g2,N,K)
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integer*1 me(K),codeword(N),g2(N,K)
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! fast encoding for low-weight test patterns
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codeword=0
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do i=1,K
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if( me(i) .eq. 1 ) then
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codeword=ieor(codeword,g2(1:N,i))
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endif
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enddo
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return
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end subroutine mrbencode101
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subroutine nextpat101(mi,k,iorder,iflag)
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integer*1 mi(k),ms(k)
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! generate the next test error pattern
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ind=-1
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do i=1,k-1
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if( mi(i).eq.0 .and. mi(i+1).eq.1) ind=i
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enddo
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if( ind .lt. 0 ) then ! no more patterns of this order
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iflag=ind
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return
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endif
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ms=0
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ms(1:ind-1)=mi(1:ind-1)
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ms(ind)=1
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ms(ind+1)=0
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if( ind+1 .lt. k ) then
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nz=iorder-sum(ms)
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ms(k-nz+1:k)=1
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endif
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mi=ms
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do i=1,k ! iflag will point to the lowest-index 1 in mi
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if(mi(i).eq.1) then
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iflag=i
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exit
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endif
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enddo
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return
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end subroutine nextpat101
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subroutine boxit101(reset,e2,ntau,npindex,i1,i2)
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integer*1 e2(1:ntau)
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integer indexes(5000,2),fp(0:525000),np(5000)
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|
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|
logical reset
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|
|
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|
common/boxes/indexes,fp,np
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|
|
|
if(reset) then
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patterns=-1
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|
fp=-1
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np=-1
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|
|
sc=-1
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|
|
indexes=-1
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|
|
|
|
reset=.false.
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endif
|
|
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|
|
|
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|
|
|
indexes(npindex,1)=i1
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|
|
indexes(npindex,2)=i2
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|
|
|
|
ipat=0
|
|
|
|
|
do i=1,ntau
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|
|
|
|
if(e2(i).eq.1) then
|
|
|
|
|
ipat=ipat+ishft(1,ntau-i)
|
|
|
|
|
endif
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
ip=fp(ipat) ! see what's currently stored in fp(ipat)
|
|
|
|
|
if(ip.eq.-1) then
|
|
|
|
|
fp(ipat)=npindex
|
|
|
|
|
else
|
|
|
|
|
do while (np(ip).ne.-1)
|
|
|
|
|
ip=np(ip)
|
|
|
|
|
enddo
|
|
|
|
|
np(ip)=npindex
|
|
|
|
|
endif
|
|
|
|
|
return
|
|
|
|
|
end subroutine boxit101
|
|
|
|
|
|
|
|
|
|
subroutine fetchit101(reset,e2,ntau,i1,i2)
|
|
|
|
|
integer indexes(5000,2),fp(0:525000),np(5000)
|
|
|
|
|
integer lastpat
|
|
|
|
|
integer*1 e2(ntau)
|
|
|
|
|
logical reset
|
|
|
|
|
common/boxes/indexes,fp,np
|
|
|
|
|
save lastpat,inext
|
|
|
|
|
|
|
|
|
|
if(reset) then
|
|
|
|
|
lastpat=-1
|
|
|
|
|
reset=.false.
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
ipat=0
|
|
|
|
|
do i=1,ntau
|
|
|
|
|
if(e2(i).eq.1) then
|
|
|
|
|
ipat=ipat+ishft(1,ntau-i)
|
|
|
|
|
endif
|
|
|
|
|
enddo
|
|
|
|
|
index=fp(ipat)
|
|
|
|
|
|
|
|
|
|
if(lastpat.ne.ipat .and. index.gt.0) then ! return first set of indices
|
|
|
|
|
i1=indexes(index,1)
|
|
|
|
|
i2=indexes(index,2)
|
|
|
|
|
inext=np(index)
|
|
|
|
|
elseif(lastpat.eq.ipat .and. inext.gt.0) then
|
|
|
|
|
i1=indexes(inext,1)
|
|
|
|
|
i2=indexes(inext,2)
|
|
|
|
|
inext=np(inext)
|
|
|
|
|
else
|
|
|
|
|
i1=-1
|
|
|
|
|
i2=-1
|
|
|
|
|
inext=-1
|
|
|
|
|
endif
|
|
|
|
|
lastpat=ipat
|
|
|
|
|
return
|
|
|
|
|
end subroutine fetchit101
|
|
|
|
|
|
