Information on Result #713411
Linear OA(760, 369, F7, 20) (dual of [369, 309, 21]-code), using construction XX applied to C1 = C([337,12]), C2 = C([1,14]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([337,14]) based on
- linear OA(749, 342, F7, 18) (dual of [342, 293, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(736, 342, F7, 14) (dual of [342, 306, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,14}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(733, 342, F7, 12) (dual of [342, 309, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(77, 23, F7, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 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(760, 123, F7, 3, 20) (dual of [(123, 3), 309, 21]-NRT-code) | [i] | OOA Folding | |