Coding theory studies the properties of codes and their fitness for specific applications, and typically involves the removal of redundancy and the detection and/or correction of errors in transmitted data.

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Words having weight near to minimum distance

I am studying the NP-Problem of the codes Syndrome Decoding. The formulation is show below. Input: a binary matrix $H$ of dimension $r \times n$ and a bit string $S$ of length $r$. Property: there ...
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Convolution and catastrophic codes

i'm reading the article of Massey and Sain (here) and i cannot unserstand - what is "foreforward inversion"? I mean There is a description of circles in convolutional codes and a little bit ...
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Change of axis positions in Vigenere Square

Is there any history of codes in which there have been changes in the normal axis positions of the Vigenere Square? Have been working on a code which has two non-normal positions -- one with the ...
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Fast root finding algorithm for Binary Goppa codes decoding using linearised and affine polynomials

I am trying to implement the root finding algorithm from the following paper - Finding roots of polynomials over finite fields by Sergei V. Fedorenko, Peter V. Trifonov link : ...