Information on Result #713060
Linear OA(7107, 200, F7, 44) (dual of [200, 93, 45]-code), using construction XX applied to C1 = C([167,35]), C2 = C([1,39]), C3 = C1 + C2 = C([1,35]), and C∩ = C1 ∩ C2 = C([167,39]) based on
- linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−4,−3,…,35}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(787, 171, F7, 39) (dual of [171, 84, 40]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(797, 171, F7, 44) (dual of [171, 74, 45]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−4,−3,…,39}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(778, 171, F7, 35) (dual of [171, 93, 36]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(76, 16, F7, 4) (dual of [16, 10, 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(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-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 OOA(7107, 100, F7, 2, 44) (dual of [(100, 2), 93, 45]-NRT-code) | [i] | OOA Folding | |