NEW CLASS OF DOUBLE INDUCTIVE ERROR CORRECTING CODES BASED ON THE CLASS OF GRM AND DGRM CODES OVER GF(2)
Seema Thakran, Vinod Tyagi · Discrete Mathematics Algorithms and Applications · 2013
In this paper, a new class of codes over GF(2) is introduced. The codes have length n = 3/2 ⋅ 2m(m ≥ 4), and have a similar 'double inductive' structure to that possessed by the class of GRM and DGRM codes. The new codes are constructed in a way such that their length-to-distance ratio n/d = 2m(m ≥ 3).