Not the Large Hadron Collider but a neat tool to generate the linear ... gen import LHC code = LHC(5, extended=True) # generate extended Hamming code for source alphabet length 5 # print generator and ...

An (n,k) binary linear block code generates a block of 'n' coded bits called codeword symbols from 'k' bits of information called message using a generator matrix . There are 2^n possible values for ...

Abstract: The main building block for ... construction of linear codes over fields, we define a generator matrix and a parity check matrix. Trellis construction and bounds on the minimum Euclidean ...

Abstract: Slepian (1960) introduced a structure theory for linear, binary codes and proved that every such code was uniquely the sum of indecomposable codes. He had hoped to produce a canonical form ...