Information on Result #713435
Linear OA(751, 362, F7, 18) (dual of [362, 311, 19]-code), using construction XX applied to C1 = C([42,57]), C2 = C([46,59]), C3 = C1 + C2 = C([46,57]), and C∩ = C1 ∩ C2 = C([42,59]) based on
- linear OA(740, 342, F7, 16) (dual of [342, 302, 17]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {42,43,…,57}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(737, 342, F7, 14) (dual of [342, 305, 15]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,59}, and designed minimum distance d ≥ |I|+1 = 15 [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 = {42,43,…,59}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(731, 342, F7, 12) (dual of [342, 311, 13]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,57}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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(751, 181, F7, 2, 18) (dual of [(181, 2), 311, 19]-NRT-code) | [i] | OOA Folding | |