T. Matsuo et al., RELATIONS BETWEEN SEVERAL MINIMUM DISTANCE BOUNDS OF BINARY CYCLIC CODES, IEICE transactions on fundamentals of electronics, communications and computer science, E80A(11), 1997, pp. 2253-2255
Relations between well-known bounds for the minimum distance of binary
cyclic codes such as BCH bound (d(BCH)). HT bound (d(HT)) and new bou
nds d(A), d(B) proposed recently by Shen et al. are investigated. We p
rove firstly d(BCH) less than or equal to d(A) and secondly d(HT) less
than or equal to d(B). We also give binary cyclic codes which satisfy
d(A) less than or equal to d(HT).