Information on Result #684903
Linear OA(769, 2422, F7, 19) (dual of [2422, 2353, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(765, 2402, F7, 19) (dual of [2402, 2337, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 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(74, 20, F7, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,7)), 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(770, 2423, F7, 19) (dual of [2423, 2353, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(771, 2424, F7, 19) (dual of [2424, 2353, 20]-code) | [i] | ||
| 3 | Linear OOA(769, 1211, F7, 2, 19) (dual of [(1211, 2), 2353, 20]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(769, 807, F7, 3, 19) (dual of [(807, 3), 2352, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(769, 269, F7, 19, 19) (dual of [(269, 19), 5042, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |