Information on Result #715443
Linear OA(870, 536, F8, 24) (dual of [536, 466, 25]-code), using construction XX applied to C1 = C([52,72]), C2 = C([56,75]), C3 = C1 + C2 = C([56,72]), and C∩ = C1 ∩ C2 = C([52,75]) based on
- linear OA(857, 511, F8, 21) (dual of [511, 454, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {52,53,…,72}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,75}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(864, 511, F8, 24) (dual of [511, 447, 25]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {52,53,…,75}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(845, 511, F8, 17) (dual of [511, 466, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,72}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [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(870, 268, F8, 2, 24) (dual of [(268, 2), 466, 25]-NRT-code) | [i] | OOA Folding | |