Information on Result #1442897
Linear OOA(7107, 2370, F7, 2, 31) (dual of [(2370, 2), 4633, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7107, 2370, F7, 31) (dual of [2370, 2263, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(7107, 2412, F7, 31) (dual of [2412, 2305, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(7106, 2411, F7, 31) (dual of [2411, 2305, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- linear OA(7105, 2402, F7, 31) (dual of [2402, 2297, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(797, 2402, F7, 29) (dual of [2402, 2305, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(7106, 2411, F7, 31) (dual of [2411, 2305, 32]-code), using
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(7107, 1185, F7, 3, 31) (dual of [(1185, 3), 3448, 32]-NRT-code) | [i] | OOA Folding | |