Binary Goppa code

In mathematics and computer science, the binary Goppa code is an error-correcting code that belongs to the class of general Goppa codes originally…

Papers overview

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2018

In this paper, we propose a new general construction to reduce the public key size of McEliecebased schemes based on Goppa codes…

2011

Common cryptographic methods, especially Public Key Crypto Systems, PKCS based on difficulty to factor large integers or to…

2001

We present a new family of binary codes derived from the family of classical Goppa codes. We generalize properties of Goppa codes…

Review

1996

Review

1996

1990

This note presents a generalization of the fact that most of the classical Goppa codes lie arbitrarily close to the Gilbert…

1984

A [55, 16, 19] binary Goppa code and some related codes are described. These codes are found to contain more codewords than any…

1977

It is shown that i) erasures-and-errors decoding of Goppa codes can be done using O(n \log^{2} n) arithmetic operations, ii) long…

1976

Goppa showed that the performance of most "Goppa codes" approaches the Gilbert bound asymptotically, but their performance for…

1976

An erasures-and-errors decoding algorithm for Goppa codes is presented. Given the Goppa polynomial and the modified syndrome…

1975

An algorithm is presented for the calculation of a cycle set for any cyclic code which has an irreducible parity-check polynomial…