Information on Result #1441110
Linear OOA(753, 2260, F7, 2, 15) (dual of [(2260, 2), 4467, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(753, 2260, F7, 15) (dual of [2260, 2207, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(753, 2414, F7, 15) (dual of [2414, 2361, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(741, 2402, F7, 11) (dual of [2402, 2361, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(74, 12, F7, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,7)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
Mode: 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(753, 1130, F7, 3, 15) (dual of [(1130, 3), 3337, 16]-NRT-code) | [i] | OOA Folding | |