Information on Result #735717
Linear OA(12864, 2097347, F128, 18) (dual of [2097347, 2097283, 19]-code), using (u, u+v)-construction based on
- linear OA(12812, 192, F128, 9) (dual of [192, 180, 10]-code), using
- extended algebraic-geometric code AGe(F,182P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [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(12864, 1048673, F128, 2, 18) (dual of [(1048673, 2), 2097282, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12864, 699115, F128, 3, 18) (dual of [(699115, 3), 2097281, 19]-NRT-code) | [i] | ||