Information on Result #695052
Linear OA(2772, 19725, F27, 21) (dual of [19725, 19653, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,5]) based on
- linear OA(2761, 19684, F27, 21) (dual of [19684, 19623, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2731, 19684, F27, 11) (dual of [19684, 19653, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2711, 41, F27, 9) (dual of [41, 30, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2711, 48, F27, 9) (dual of [48, 37, 10]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2711, 48, F27, 9) (dual of [48, 37, 10]-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 OOA(2772, 9862, F27, 2, 21) (dual of [(9862, 2), 19652, 22]-NRT-code) | [i] | OOA Folding | |