Information on Result #733366
Linear OA(2782, 19768, F27, 22) (dual of [19768, 19686, 23]-code), using (u, u+v)-construction based on
- linear OA(2718, 82, F27, 11) (dual of [82, 64, 12]-code), using
- extended algebraic-geometric code AGe(F,70P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2764, 19686, F27, 22) (dual of [19686, 19622, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(2764, 19683, F27, 22) (dual of [19683, 19619, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [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(2782, 9884, F27, 2, 22) (dual of [(9884, 2), 19686, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2782, 1797, F27, 22, 22) (dual of [(1797, 22), 39452, 23]-NRT-code) | [i] | OA Folding and Stacking | |