Information on Result #713566
Linear OA(763, 360, F7, 23) (dual of [360, 297, 24]-code), using construction XX applied to C1 = C([36,56]), C2 = C([40,58]), C3 = C1 + C2 = C([40,56]), and C∩ = C1 ∩ C2 = C([36,58]) based on
- linear OA(754, 342, F7, 21) (dual of [342, 288, 22]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,56}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(749, 342, F7, 19) (dual of [342, 293, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {40,41,…,58}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,58}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(745, 342, F7, 17) (dual of [342, 297, 18]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {40,41,…,56}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-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 OOA(763, 180, F7, 2, 23) (dual of [(180, 2), 297, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(763, 120, F7, 3, 23) (dual of [(120, 3), 297, 24]-NRT-code) | [i] | ||