Title :
A [55,16,19] binary Goppa code and related codes having large minimum distance
Author :
Cao, Huy T. ; Dougherty, Randall L. ; Janwa, Heeralal
Author_Institution :
Dept. of Math., California Inst. of Technol., Pasadena, CA, USA
fDate :
9/1/1991 12:00:00 AM
Abstract :
A [55,16,19] binary Goppa code is used to construct [57,17,17], [58,17,18], [59,17,19], and [60,17,20] codes. The first two codes have smaller redundancy than previously known codes (linear or nonlinear) of the same length and minimum distance. The last two codes have parameters previously attained only by nonlinear codes
Keywords :
error correction codes; (55,16,19) code; Goppa code; binary code; minimum distance; redundancy; Linear code; Null space; Parity check codes; Polynomials; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
