Information on Result #700214
Linear OA(12832, 389, F128, 18) (dual of [389, 357, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(12830, 382, F128, 18) (dual of [382, 352, 19]-code), using an extension Ce(17) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12825, 382, F128, 15) (dual of [382, 357, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(1282, 7, F128, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), 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.