Information on Result #687838
Linear OA(8147, 575, F8, 46) (dual of [575, 428, 47]-code), using construction X applied to C([0,24]) ⊂ C([0,16]) based on
- linear OA(8127, 513, F8, 49) (dual of [513, 386, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(885, 513, F8, 33) (dual of [513, 428, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(820, 62, F8, 12) (dual of [62, 42, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-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.
Other Results with Identical Parameters
None.
Depending Results
None.