Information on Result #1070067
Linear OOA(12836, 2101247, F128, 4, 8) (dual of [(2101247, 4), 8404952, 9]-NRT-code), using OOA 2-folding based on linear OOA(12836, 4202494, F128, 2, 8) (dual of [(4202494, 2), 8404952, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, 8193, F128, 2, 4) (dual of [(8193, 2), 16379, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1287, 16386, F128, 4) (dual of [16386, 16379, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(1287, 16384, F128, 4) (dual of [16384, 16377, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1285, 16384, F128, 3) (dual of [16384, 16379, 4]-code or 16384-cap in PG(4,128)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(3) ⊂ Ce(2) [i] based on
- OOA 2-folding [i] based on linear OA(1287, 16386, F128, 4) (dual of [16386, 16379, 5]-code), using
- linear OOA(12829, 4194301, F128, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12829, 8388602, F128, 8) (dual of [8388602, 8388573, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- OOA 2-folding [i] based on linear OA(12829, 8388602, F128, 8) (dual of [8388602, 8388573, 9]-code), using
- linear OOA(1287, 8193, F128, 2, 4) (dual of [(8193, 2), 16379, 5]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.