Information on Result #715352
Linear OA(864, 535, F8, 22) (dual of [535, 471, 23]-code), using construction XX applied to C1 = C([507,14]), C2 = C([0,17]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([507,17]) based on
- linear OA(852, 511, F8, 19) (dual of [511, 459, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,14}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,17}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(864, 267, F8, 2, 22) (dual of [(267, 2), 470, 23]-NRT-code) | [i] | OOA Folding | |