Information on Result #1019578
Linear OOA(12869, 5762, F128, 3, 25) (dual of [(5762, 3), 17217, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12820, 300, F128, 3, 12) (dual of [(300, 3), 880, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,443P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12813, 150, F128, 3, 12) (dual of [(150, 3), 437, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,437P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12849, 5462, F128, 3, 25) (dual of [(5462, 3), 16337, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(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(24) ⊂ Ce(23) [i] based on
- OOA 3-folding [i] based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-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.