# 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