Two-dimensional cyclic codes
WebJun 8, 2024 · Finding a Generator Matrix of a Multidimensional Cyclic Code. We generalize Sepasdar's method for finding a generator matrix of two-dimensional cyclic codes to find an independent subset of a general multicyclic code, which may form a basis of the code as a vector subspace. A generator matrix can be then constructed from this basis. WebDec 1, 2012 · A basic theory of two-dimensional cyclic codes (TDC codes) is presented. This theory is applicable to the binary TDC codes of odd area, i.e., the TDC codes with an odd …
Two-dimensional cyclic codes
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WebOct 1, 2004 · Then we study the weights of two-dimensional (2-D) cyclic codes. For this, we give a trace representation of the codes starting with the zeros of the dual 2-D cyclic … WebA method of decoding two-dimensional (2-D) cyclic codes by applying the 2- D Berlekamp-Massey algorithm is proposed and a subclass of 2-D cyclic code are introduced, which …
http://comstolab.kaist.ac.kr/library/papers/Two-Dimensional_Cyclic_Codes_Correcting_Known_Error_Patterns.pdf WebGF(2), called codewords or code-arrays. A two-dimensional code C is said to be linear if, and only if, C forms a subspace of the MN-dimensional space of the M × N arrays over GF(2). A two-dimensional cyclic code (a TDC code) is defined as a two-dimensional linear code such that for each code-array C, all
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WebTwo-dimension Parity Check can be improved the Performance by using two-dimensional parity check, which organizes the block of bits in the form of a table. Parity check bits are calculated for each row, which is equivalent to a simple parity check bit.
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