Information on Result #700224
Linear OA(12844, 391, F128, 25) (dual of [391, 347, 26]-code), using construction X applied to Ce(24) ⊂ Ce(20) based on
- linear OA(12841, 382, F128, 25) (dual of [382, 341, 26]-code), using an extension Ce(24) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(12835, 382, F128, 21) (dual of [382, 347, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1283, 9, F128, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,128) or 9-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), 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.