Information on Result #698191
Linear OA(4952, 2425, F49, 23) (dual of [2425, 2373, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,7]) based on
- linear OA(4945, 2402, F49, 23) (dual of [2402, 2357, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(497, 23, F49, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,49)), using
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), using
- Reed–Solomon code RS(42,49) [i]
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), 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(4952, 2292, F49, 2, 23) (dual of [(2292, 2), 4532, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4952, 2292, F49, 3, 23) (dual of [(2292, 3), 6824, 24]-NRT-code) | [i] | ||
| 3 | Digital (29, 52, 2292)-net over F49 | [i] | ||
| 4 | Linear OOA(4952, 1212, F49, 2, 23) (dual of [(1212, 2), 2372, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4952, 808, F49, 3, 23) (dual of [(808, 3), 2372, 24]-NRT-code) | [i] | ||