Information on Result #716214
Linear OA(8111, 529, F8, 41) (dual of [529, 418, 42]-code), using construction XX applied to C1 = C([44,81]), C2 = C([41,77]), C3 = C1 + C2 = C([44,77]), and C∩ = C1 ∩ C2 = C([41,81]) based on
- linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {44,45,…,81}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,77}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,81}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(891, 511, F8, 34) (dual of [511, 420, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {44,45,…,77}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [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(8111, 264, F8, 2, 41) (dual of [(264, 2), 417, 42]-NRT-code) | [i] | OOA Folding | |