Information on Result #717037
Linear OA(8169, 535, F8, 62) (dual of [535, 366, 63]-code), using construction XX applied to C1 = C([507,54]), C2 = C([0,57]), C3 = C1 + C2 = C([0,54]), and C∩ = C1 ∩ C2 = C([507,57]) based on
- linear OA(8157, 511, F8, 59) (dual of [511, 354, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,54}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8151, 511, F8, 58) (dual of [511, 360, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(8163, 511, F8, 62) (dual of [511, 348, 63]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,57}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56 [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(8169, 267, F8, 2, 62) (dual of [(267, 2), 365, 63]-NRT-code) | [i] | OOA Folding | |