Information on Result #716948
Linear OA(8166, 542, F8, 60) (dual of [542, 376, 61]-code), using construction XX applied to C1 = C([16,72]), C2 = C([22,75]), C3 = C1 + C2 = C([22,72]), and C∩ = C1 ∩ C2 = C([16,75]) based on
- linear OA(8150, 511, F8, 57) (dual of [511, 361, 58]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {16,17,…,72}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {22,23,…,75}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {16,17,…,75}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8135, 511, F8, 51) (dual of [511, 376, 52]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {22,23,…,72}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(8166, 271, F8, 2, 60) (dual of [(271, 2), 376, 61]-NRT-code) | [i] | OOA Folding | |