Information on Result #717019
Linear OA(8166, 535, F8, 61) (dual of [535, 369, 62]-code), using construction XX applied to C1 = C([507,53]), C2 = C([0,56]), C3 = C1 + C2 = C([0,53]), and C∩ = C1 ∩ C2 = C([507,56]) based on
- linear OA(8154, 511, F8, 58) (dual of [511, 357, 59]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,53}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(8148, 511, F8, 57) (dual of [511, 363, 58]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(8160, 511, F8, 61) (dual of [511, 351, 62]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,56}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55 [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(8166, 267, F8, 2, 61) (dual of [(267, 2), 368, 62]-NRT-code) | [i] | OOA Folding | |