Information on Result #735771
Linear OA(12852, 2097307, F128, 15) (dual of [2097307, 2097255, 16]-code), using (u, u+v)-construction based on
- linear OA(1289, 152, F128, 7) (dual of [152, 143, 8]-code), using
- construction X applied to AG(F,141P) ⊂ AG(F,143P) [i] based on
- linear OA(1288, 149, F128, 7) (dual of [149, 141, 8]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1286, 149, F128, 5) (dual of [149, 143, 6]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,141P) ⊂ AG(F,143P) [i] based on
- linear OA(12843, 2097155, F128, 15) (dual of [2097155, 2097112, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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(14) ⊂ Ce(13) [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12852, 299615, F128, 15, 15) (dual of [(299615, 15), 4494173, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |