Information on Result #701232
Linear OA(543, 71, F5, 21) (dual of [71, 28, 22]-code), using construction X applied to C({1,3,4,6,8,11,16,17,19,21,22,24,31,32}) ⊂ C({1,4,6,11,16,17,19,21,22,24,31,32}) based on
- linear OA(540, 62, F5, 21) (dual of [62, 22, 22]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,3,4,6,8,11,16,17,19,21,22,24,31,32}, and minimum distance d ≥ |{13,14,…,33}|+1 = 22 (BCH-bound) [i]
- linear OA(534, 62, F5, 18) (dual of [62, 28, 19]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,4,6,11,16,17,19,21,22,24,31,32}, and minimum distance d ≥ |{16,17,…,33}|+1 = 19 (BCH-bound) [i]
- linear OA(53, 9, F5, 2) (dual of [9, 6, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.