# CODE 1make-pchk ex-dep.pchk 4 6 0:0 0:5 3:1 3:2print-pchk -d ex-dep.pchkParity 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 0echo 00011011 >ex-dep.src# SPARSE REPRESENTATIONmake-gen ex-dep.pchk ex-dep.gen sparseNote: Parity check matrix has 2 redundant checksNumber of 1s per check in L is 0.8, U is 0.5, B is 0.2, total is 1.5print-gen -d ex-dep.genGenerator matrix in ex-dep.gen (sparse representation):Column order (message bits at end):   5   2   1   3   4   0Row order:   0   3   2   1L: 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0U: 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.encEncoded 4 blocks, source block size 2, encoded block size 6000000100001000010100011verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.srcBlock counts: tot 4, with chk errs 0, with src errs 0, both 0Bit error rate (on message bits only): 0.000e+00# DENSE REPRESENTATIONmake-gen ex-dep.pchk ex-dep.gen denseNote: Parity check matrix has 2 redundant checksNumber of 1s per check in Inv(A) X B is 0.2print-gen -d ex-dep.genGenerator matrix in ex-dep.gen (dense representation):Column order (message bits at end):   0   1   2   3   4   5Inv(A) X B: 0 1 0 0 0 0 0 0encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.encEncoded 4 blocks, source block size 2, encoded block size 6000000100001000010100011verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.srcBlock counts: tot 4, with chk errs 0, with src errs 0, both 0Bit error rate (on message bits only): 0.000e+00# MIXED REPRESENTATIONmake-gen ex-dep.pchk ex-dep.gen mixedNote: Parity check matrix has 2 redundant checksNumber of 1s per check in Inv(A) is 0.5, in B is 0.2, total is 0.8print-gen -d ex-dep.genGenerator matrix in ex-dep.gen (mixed representation):Column order (message bits at end):   0   1   2   3   4   5Inv(A): 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.encEncoded 4 blocks, source block size 2, encoded block size 6000000100001000010100011verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.srcBlock counts: tot 4, with chk errs 0, with src errs 0, both 0Bit error rate (on message bits only): 0.000e+00# CODE 2make-pchk ex-dep.pchk 4 5 0:0 0:1 1:1 1:2 2:0 2:2 3:3 3:4print-pchk -d ex-dep.pchkParity 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 1echo 01 >ex-dep.src# SPARSE REPRESENTATIONmake-gen ex-dep.pchk ex-dep.gen sparseNote: Parity check matrix has 1 redundant checksNumber of 1s per check in L is 1.0, U is 1.2, B is 0.5, total is 2.8print-gen -d ex-dep.genGenerator matrix in ex-dep.gen (sparse representation):Column order (message bits at end):   4   1   2   3   0Row order:   3   0   1   2L: 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0U: 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.encEncoded 2 blocks, source block size 1, encoded block size 50000011100verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.srcBlock counts: tot 2, with chk errs 0, with src errs 0, both 0Bit error rate (on message bits only): 0.000e+00# DENSE REPRESENTATIONmake-gen ex-dep.pchk ex-dep.gen denseNote: Parity check matrix has 1 redundant checksNumber of 1s per check in Inv(A) X B is 0.2print-gen -d ex-dep.genGenerator matrix in ex-dep.gen (dense representation):Column order (message bits at end):   0   1   3   2   4Inv(A) X B: 0 0 1 0encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.encEncoded 2 blocks, source block size 1, encoded block size 50000000011verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.srcBlock counts: tot 2, with chk errs 0, with src errs 0, both 0Bit error rate (on message bits only): 0.000e+00# MIXED REPRESENTATIONmake-gen ex-dep.pchk ex-dep.gen mixedNote: Parity check matrix has 1 redundant checksNumber of 1s per check in Inv(A) is 1.0, in B is 0.2, total is 1.2print-gen -d ex-dep.genGenerator matrix in ex-dep.gen (mixed representation):Column order (message bits at end):   0   1   3   2   4Inv(A): 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0encode ex-dep.pchk ex-dep.gen ex-dep.src ex-dep.enc; cat ex-dep.encEncoded 2 blocks, source block size 1, encoded block size 50000000011verify ex-dep.pchk ex-dep.enc ex-dep.gen ex-dep.srcBlock counts: tot 2, with chk errs 0, with src errs 0, both 0Bit error rate (on message bits only): 0.000e+00