Information on Result #1083122
Linear OOA(12864, 2097429, F128, 4, 14) (dual of [(2097429, 4), 8389652, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12811, 279, F128, 4, 7) (dual of [(279, 4), 1105, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;513,128) [i]
- linear OOA(1288, 150, F128, 4, 7) (dual of [(150, 4), 592, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,592P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12853, 2097150, F128, 4, 14) (dual of [(2097150, 4), 8388547, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12853, 8388600, F128, 14) (dual of [8388600, 8388547, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- OOA 4-folding [i] based on linear OA(12853, 8388600, F128, 14) (dual of [8388600, 8388547, 15]-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.