polynomial code sentence in Hindi
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- Since polynomial codes are linear codes, the minimum Hamming distance is equal to the minimum weight of any non-zero codeword.
- The algebraic nature of polynomial codes, with cleverly chosen generator polynomials, can also often be exploited to find efficient error correction algorithms.
- As for all digital codes, the error detection and correction abilities of polynomial codes are determined by the minimum Hamming distance of the code.
- With this definition of the codewords, it can be immediately seen that a Reed Solomon code is a polynomial code, and in particular a BCH code.
- For the purposes of constructing polynomial codes, we identify a string of n symbols a _ { n-1 } \ ldots a _ 0 with the polynomial
- Note that this, as every polynomial code, is indeed a linear code, i . e ., linear combinations of code words are again code words.
- Since the polynomial code is defined over the Binary Galois Field GF ( 2 ) = \ { 0, 1 \ }, polynomial elements are represented as a modulo-q sum and the final polynomials are:
- The " polynomial code generated by g ( x ) " is the code whose code words are precisely the polynomials of degree less than n that are divisible ( without remainder ) by g ( x ).
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