Information on Result #695375
Linear OA(2746, 735, F27, 23) (dual of [735, 689, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(2745, 730, F27, 23) (dual of [730, 685, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2741, 730, F27, 21) (dual of [730, 689, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2750, 755, F27, 23) (dual of [755, 705, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2751, 790, F27, 23) (dual of [790, 739, 24]-code) | [i] | ||
| 3 | Linear OOA(2746, 367, F27, 2, 23) (dual of [(367, 2), 688, 24]-NRT-code) | [i] | OOA Folding | |