Information on Result #716381
Linear OA(8124, 535, F8, 45) (dual of [535, 411, 46]-code), using construction XX applied to C1 = C([507,37]), C2 = C([0,40]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([507,40]) based on
- linear OA(8112, 511, F8, 42) (dual of [511, 399, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,40}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), 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(8124, 267, F8, 2, 45) (dual of [(267, 2), 410, 46]-NRT-code) | [i] | OOA Folding | |