Information on Result #733337
Linear OA(2783, 19754, F27, 23) (dual of [19754, 19671, 24]-code), using (u, u+v)-construction based on
- linear OA(2716, 68, F27, 11) (dual of [68, 52, 12]-code), using
- extended algebraic-geometric code AGe(F,56P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- linear OA(2767, 19686, F27, 23) (dual of [19686, 19619, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(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(22) ⊂ Ce(21) [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(2783, 9877, F27, 2, 23) (dual of [(9877, 2), 19671, 24]-NRT-code) | [i] | OOA Folding | |