Information on Result #1583474
Linear OOA(12830, 644898, F128, 4, 10) (dual of [(644898, 4), 2579562, 11]-NRT-code), using OOA 2-folding based on linear OOA(12830, 1289796, F128, 2, 10) (dual of [(1289796, 2), 2579562, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12830, 1289797, F128, 2, 10) (dual of [(1289797, 2), 2579564, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12830, 1289797, F128, 10) (dual of [1289797, 1289767, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12830, 2097163, F128, 10) (dual of [2097163, 2097133, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12819, 2097152, F128, 7) (dual of [2097152, 2097133, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-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
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(12830, 2097163, F128, 10) (dual of [2097163, 2097133, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12830, 1289797, F128, 10) (dual of [1289797, 1289767, 11]-code), using
Mode: 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.