Information on Result #670563
Linear OA(12829, 16512, F128, 11) (dual of [16512, 16483, 12]-code), using generalized (u, u+v)-construction based on
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1280, 129, F128, 0) (dual of [129, 129, 1]-code) (see above)
- linear OA(1281, 129, F128, 1) (dual of [129, 128, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1281, 129, F128, 1) (dual of [129, 128, 2]-code) (see above)
- linear OA(1281, 129, F128, 1) (dual of [129, 128, 2]-code) (see above)
- linear OA(1281, 129, F128, 1) (dual of [129, 128, 2]-code) (see above)
- linear OA(1281, 129, F128, 1) (dual of [129, 128, 2]-code) (see above)
- linear OA(1281, 129, F128, 1) (dual of [129, 128, 2]-code) (see above)
- linear OA(1282, 129, F128, 2) (dual of [129, 127, 3]-code or 129-arc in PG(1,128)), using
- extended Reed–Solomon code RSe(127,128) [i]
- Hamming code H(2,128) [i]
- linear OA(1282, 129, F128, 2) (dual of [129, 127, 3]-code or 129-arc in PG(1,128)) (see above)
- linear OA(1283, 129, F128, 3) (dual of [129, 126, 4]-code or 129-arc in PG(2,128) or 129-cap in PG(2,128)), using
- extended Reed–Solomon code RSe(126,128) [i]
- linear OA(1285, 129, F128, 5) (dual of [129, 124, 6]-code or 129-arc in PG(4,128)), using
- extended Reed–Solomon code RSe(124,128) [i]
- linear OA(12811, 129, F128, 11) (dual of [129, 118, 12]-code or 129-arc in PG(10,128)), using
- extended Reed–Solomon code RSe(118,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
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.