Information on Result #714085
Linear OA(7102, 360, F7, 38) (dual of [360, 258, 39]-code), using construction XX applied to C1 = C([21,56]), C2 = C([25,58]), C3 = C1 + C2 = C([25,56]), and C∩ = C1 ∩ C2 = C([21,58]) based on
- linear OA(793, 342, F7, 36) (dual of [342, 249, 37]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {21,22,…,56}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {25,26,…,58}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(797, 342, F7, 38) (dual of [342, 245, 39]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {21,22,…,58}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(784, 342, F7, 32) (dual of [342, 258, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {25,26,…,56}, and designed minimum distance d ≥ |I|+1 = 33 [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(7102, 120, F7, 3, 38) (dual of [(120, 3), 258, 39]-NRT-code) | [i] | OOA Folding | |