WSJT-X/lib/ldpc/ex-dep-out

# CODE 1

make-pchk ex-dep.pchk 4 6 0:0 0:5 3:1 3:2
print-pchk -d ex-dep.pchk

Parity check matrix in ex-dep.pchk (dense format):

 1 0 0 0 0 1
 0 0 0 0 0 0
 0 0 0 0 0 0
 0 1 1 0 0 0

echo 00011011 >ex-dep.src

# SPARSE REPRESENTATION

make-gen ex-dep.pchk ex-dep.gen sparse
Note: Parity check matrix has 2 redundant checks
Number of 1s per check in L is 0.8, U is 0.5, B is 0.2, total is 1.5
print-gen -d ex-dep.gen

Generator matrix in ex-dep.gen (sparse representation):

Column order (message bits at end):

   5   2   1   3   4   0

Row order:

   0   3   2   1

L:

 1 0 0 0
 0 0 0 0
 0 0 0 0
 0 1 0 0

U:

 0 0 0 0 0 1
 0 1 1 0 0 0
 0 0 0 0 0 0
 0 0 0 0 0 0

encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.enc
Encoded 4 blocks, source block size 2, encoded block size 6
000000
100001
000010
100011
verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.src
Block counts: tot 4, with chk errs 0, with src errs 0, both 0
Bit error rate (on message bits only): 0.000e+00

# DENSE REPRESENTATION

make-gen ex-dep.pchk ex-dep.gen dense
Note: Parity check matrix has 2 redundant checks
Number of 1s per check in Inv(A) X B is 0.2
print-gen -d ex-dep.gen

Generator matrix in ex-dep.gen (dense representation):

Column order (message bits at end):

   0   1   2   3   4   5

Inv(A) X B:

 0 1
 0 0
 0 0
 0 0

encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.enc
Encoded 4 blocks, source block size 2, encoded block size 6
000000
100001
000010
100011
verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.src
Block counts: tot 4, with chk errs 0, with src errs 0, both 0
Bit error rate (on message bits only): 0.000e+00

# MIXED REPRESENTATION

make-gen ex-dep.pchk ex-dep.gen mixed
Note: Parity check matrix has 2 redundant checks
Number of 1s per check in Inv(A) is 0.5, in B is 0.2, total is 0.8
print-gen -d ex-dep.gen

Generator matrix in ex-dep.gen (mixed representation):

Column order (message bits at end):

   0   1   2   3   4   5

Inv(A):

 1 0 0 0
 0 0 0 1
 0 0 0 0
 0 0 0 0

encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.enc
Encoded 4 blocks, source block size 2, encoded block size 6
000000
100001
000010
100011
verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.src
Block counts: tot 4, with chk errs 0, with src errs 0, both 0
Bit error rate (on message bits only): 0.000e+00

# CODE 2

make-pchk ex-dep.pchk 4 5 0:0 0:1 1:1 1:2 2:0 2:2 3:3 3:4
print-pchk -d ex-dep.pchk

Parity check matrix in ex-dep.pchk (dense format):

 1 1 0 0 0
 0 1 1 0 0
 1 0 1 0 0
 0 0 0 1 1

echo 01 >ex-dep.src

# SPARSE REPRESENTATION

make-gen ex-dep.pchk ex-dep.gen sparse
Note: Parity check matrix has 1 redundant checks
Number of 1s per check in L is 1.0, U is 1.2, B is 0.5, total is 2.8
print-gen -d ex-dep.gen

Generator matrix in ex-dep.gen (sparse representation):

Column order (message bits at end):

   4   1   2   3   0

Row order:

   3   0   1   2

L:

 0 1 0 0
 0 1 1 0
 0 0 1 0
 1 0 0 0

U:

 0 0 0 1 1
 0 1 0 0 0
 0 0 1 0 0
 0 0 0 0 0

encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.enc
Encoded 2 blocks, source block size 1, encoded block size 5
00000
11100
verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.src
Block counts: tot 2, with chk errs 0, with src errs 0, both 0
Bit error rate (on message bits only): 0.000e+00

# DENSE REPRESENTATION

make-gen ex-dep.pchk ex-dep.gen dense
Note: Parity check matrix has 1 redundant checks
Number of 1s per check in Inv(A) X B is 0.2
print-gen -d ex-dep.gen

Generator matrix in ex-dep.gen (dense representation):

Column order (message bits at end):

   0   1   3   2   4

Inv(A) X B:

 0
 0
 1
 0

encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.enc
Encoded 2 blocks, source block size 1, encoded block size 5
00000
00011
verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.src
Block counts: tot 2, with chk errs 0, with src errs 0, both 0
Bit error rate (on message bits only): 0.000e+00

# MIXED REPRESENTATION

make-gen ex-dep.pchk ex-dep.gen mixed
Note: Parity check matrix has 1 redundant checks
Number of 1s per check in Inv(A) is 1.0, in B is 0.2, total is 1.2
print-gen -d ex-dep.gen

Generator matrix in ex-dep.gen (mixed representation):

Column order (message bits at end):

   0   1   3   2   4

Inv(A):

 1 1 0 0
 0 1 0 0
 0 0 0 1
 0 0 0 0

encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.enc
Encoded 2 blocks, source block size 1, encoded block size 5
00000
00011
verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.src
Block counts: tot 2, with chk errs 0, with src errs 0, both 0
Bit error rate (on message bits only): 0.000e+00