A class of codes similar to that presented by Bossen and Yau [2] and Stone [5] is constructed. Because of a different coding method, different degree polynomials can be used as moduli and, thus, the code length is greater. For many classes of burst lengths, these codes use less redundancy than the above mentioned codes. This is due to the fact that the redundancy is independent of the encoding moduli and any irreducible polynomial may be used as a generator. The decoding operation consists of multiplications which can be instantaneously implemented with a modest amount of logical gating
Codes constructed in a Residue Number System (RNS) of moduli m1, m2, ..., mn are non-binary, arithme...
Various aspects of single-phased burst-error-correcting array codes are explored. These codes are co...
Abstract—In this paper, we present a new basis of polynomial over finite fields of characteristic tw...
A class of codes similar to that presented by Bossen and Yau [2] and Stone [5] is constructed. Becau...
In this paper, a new class of error-correcting linear block codes using symbols from GF(2m) is prese...
It is shown how binary polynomial residue codes which are equivalent in error-correcting power to sh...
A class of cyclic product codes capable of correcting multiple-burst errors is studied. A code of di...
Improved redundancy bounds for a class of previously constructed nonlinear arithmetic multiple-error...
There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic cip...
Polynomial remainder codes are a large class of codes derived from the Chinese re-mainder theorem th...
AN encoding in residue number systems allows construction of a class of nonlinear arithmetic error-c...
It is shown how decoding beyond the designed distance can be accomplished for a certain decoding alg...
Two results on the correction of multiple bursts of errors are presented. In Section II, a theorem i...
AbstractIn (Adbel-Ghaffar et al., 1986) it is shown that for each integer b⩾1 infinitely many optimu...
A Reed-Solomon (RS) code is considered to be a special case of a redundant residue polynomial (RRP) ...
Codes constructed in a Residue Number System (RNS) of moduli m1, m2, ..., mn are non-binary, arithme...
Various aspects of single-phased burst-error-correcting array codes are explored. These codes are co...
Abstract—In this paper, we present a new basis of polynomial over finite fields of characteristic tw...
A class of codes similar to that presented by Bossen and Yau [2] and Stone [5] is constructed. Becau...
In this paper, a new class of error-correcting linear block codes using symbols from GF(2m) is prese...
It is shown how binary polynomial residue codes which are equivalent in error-correcting power to sh...
A class of cyclic product codes capable of correcting multiple-burst errors is studied. A code of di...
Improved redundancy bounds for a class of previously constructed nonlinear arithmetic multiple-error...
There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic cip...
Polynomial remainder codes are a large class of codes derived from the Chinese re-mainder theorem th...
AN encoding in residue number systems allows construction of a class of nonlinear arithmetic error-c...
It is shown how decoding beyond the designed distance can be accomplished for a certain decoding alg...
Two results on the correction of multiple bursts of errors are presented. In Section II, a theorem i...
AbstractIn (Adbel-Ghaffar et al., 1986) it is shown that for each integer b⩾1 infinitely many optimu...
A Reed-Solomon (RS) code is considered to be a special case of a redundant residue polynomial (RRP) ...
Codes constructed in a Residue Number System (RNS) of moduli m1, m2, ..., mn are non-binary, arithme...
Various aspects of single-phased burst-error-correcting array codes are explored. These codes are co...
Abstract—In this paper, we present a new basis of polynomial over finite fields of characteristic tw...