Information on Result #695383
Linear OA(2714, 735, F27, 7) (dual of [735, 721, 8]-code), using construction X applied to C([0,3]) ⊂ C([0,2]) based on
- linear OA(2713, 730, F27, 7) (dual of [730, 717, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(279, 730, F27, 5) (dual of [730, 721, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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 OOA(2714, 526, F27, 2, 7) (dual of [(526, 2), 1038, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Digital (7, 14, 526)-net over F27 | [i] | ||
3 | Linear OOA(2714, 367, F27, 2, 7) (dual of [(367, 2), 720, 8]-NRT-code) | [i] | OOA Folding | |
4 | Linear OOA(2714, 244, F27, 7, 7) (dual of [(244, 7), 1694, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |