Information on Result #713007
Linear OA(7108, 201, F7, 44) (dual of [201, 93, 45]-code), using construction XX applied to C1 = C([164,35]), C2 = C([1,36]), C3 = C1 + C2 = C([1,35]), and C∩ = C1 ∩ C2 = C([164,36]) based on
- linear OA(794, 171, F7, 43) (dual of [171, 77, 44]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(781, 171, F7, 36) (dual of [171, 90, 37]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 = {−7,−6,…,36}, 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(711, 27, F7, 7) (dual of [27, 16, 8]-code), using
- 5 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- extended quadratic residue code Qe(32,7) [i]
- 5 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-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(7108, 67, F7, 3, 44) (dual of [(67, 3), 93, 45]-NRT-code) | [i] | OOA Folding | |