Information on Result #1070717
Linear OOA(12869, 4290, F128, 4, 24) (dual of [(4290, 4), 17091, 25]-NRT-code), using OOA 2-folding based on linear OOA(12869, 8580, F128, 2, 24) (dual of [(8580, 2), 17091, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12822, 387, F128, 2, 12) (dual of [(387, 2), 752, 13]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;254,128) [i]
- linear OOA(1286, 129, F128, 2, 6) (dual of [(129, 2), 252, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;252,128) [i]
- linear OOA(12812, 129, F128, 2, 12) (dual of [(129, 2), 246, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;246,128) [i]
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12847, 8193, F128, 2, 24) (dual of [(8193, 2), 16339, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12847, 16386, F128, 24) (dual of [16386, 16339, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 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
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(12847, 16386, F128, 24) (dual of [16386, 16339, 25]-code), using
- linear OOA(12822, 387, F128, 2, 12) (dual of [(387, 2), 752, 13]-NRT-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.