Information on Result #684911
Linear OA(780, 2433, F7, 21) (dual of [2433, 2353, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- linear OA(773, 2402, F7, 21) (dual of [2402, 2329, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(77, 31, F7, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), 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(781, 2434, F7, 21) (dual of [2434, 2353, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(780, 1216, F7, 2, 21) (dual of [(1216, 2), 2352, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(780, 811, F7, 3, 21) (dual of [(811, 3), 2353, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(780, 243, F7, 21, 21) (dual of [(243, 21), 5023, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |