Information on Result #713541
Linear OA(764, 363, F7, 23) (dual of [363, 299, 24]-code), using construction XX applied to C1 = C([36,57]), C2 = C([41,58]), C3 = C1 + C2 = C([41,57]), and C∩ = C1 ∩ C2 = C([36,58]) based on
- linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,57}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {41,42,…,58}, and designed minimum distance d ≥ |I|+1 = 19 [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(743, 342, F7, 17) (dual of [342, 299, 18]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {41,42,…,57}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(76, 18, F7, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(764, 181, F7, 2, 23) (dual of [(181, 2), 298, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(764, 121, F7, 3, 23) (dual of [(121, 3), 299, 24]-NRT-code) | [i] | ||