Information on Result #715406
Linear OA(867, 536, F8, 23) (dual of [536, 469, 24]-code), using construction XX applied to C1 = C([53,72]), C2 = C([57,75]), C3 = C1 + C2 = C([57,72]), and C∩ = C1 ∩ C2 = C([53,75]) based on
- linear OA(854, 511, F8, 20) (dual of [511, 457, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,72}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,75}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(861, 511, F8, 23) (dual of [511, 450, 24]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,75}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(842, 511, F8, 16) (dual of [511, 469, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,72}, and designed minimum distance d ≥ |I|+1 = 17 [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(867, 268, F8, 2, 23) (dual of [(268, 2), 469, 24]-NRT-code) | [i] | OOA Folding | |