Information on Result #696180
Linear OA(27108, 792, F27, 44) (dual of [792, 684, 45]-code), using construction X applied to Ce(43) ⊂ Ce(22) based on
- linear OA(2784, 729, F27, 44) (dual of [729, 645, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2745, 729, F27, 23) (dual of [729, 684, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2724, 63, F27, 20) (dual of [63, 39, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2724, 64, F27, 20) (dual of [64, 40, 21]-code), using
- extended algebraic-geometric code AGe(F,43P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2724, 64, F27, 20) (dual of [64, 40, 21]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27109, 793, F27, 44) (dual of [793, 684, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27108, 396, F27, 2, 44) (dual of [(396, 2), 684, 45]-NRT-code) | [i] | OOA Folding | |