Information on Result #716168
Linear OA(8112, 536, F8, 40) (dual of [536, 424, 41]-code), using construction XX applied to C1 = C([36,72]), C2 = C([40,75]), C3 = C1 + C2 = C([40,72]), and C∩ = C1 ∩ C2 = C([36,75]) based on
- linear OA(899, 511, F8, 37) (dual of [511, 412, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {36,37,…,72}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,75}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8106, 511, F8, 40) (dual of [511, 405, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {36,37,…,75}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(887, 511, F8, 33) (dual of [511, 424, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,72}, and designed minimum distance d ≥ |I|+1 = 34 [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(8112, 268, F8, 2, 40) (dual of [(268, 2), 424, 41]-NRT-code) | [i] | OOA Folding | |