Information on Result #1831669
OOA(1677, 1048594, S16, 2, 14), using (u, u+v)-construction based on
- linear OOA(167, 17, F16, 2, 7) (dual of [(17, 2), 27, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;27,16) [i]
- OOA(1670, 1048577, S16, 2, 14), using
- OOA 2-folding [i] based on OA(1670, 2097154, S16, 14), using
- discarding factors based on OA(1670, 2097155, S16, 14), using
- discarding parts of the base [i] based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 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(13) ⊂ Ce(12) [i] based on
- discarding parts of the base [i] based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- discarding factors based on OA(1670, 2097155, S16, 14), using
- OOA 2-folding [i] based on OA(1670, 2097154, S16, 14), using
Mode: Constructive.
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.