Information on Result #716306
Linear OA(8127, 542, F8, 45) (dual of [542, 415, 46]-code), using construction XX applied to C1 = C([31,72]), C2 = C([37,75]), C3 = C1 + C2 = C([37,72]), and C∩ = C1 ∩ C2 = C([31,75]) based on
- linear OA(8111, 511, F8, 42) (dual of [511, 400, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,72}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {37,38,…,75}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,75}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(896, 511, F8, 36) (dual of [511, 415, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {37,38,…,72}, and designed minimum distance d ≥ |I|+1 = 37 [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(8127, 271, F8, 2, 45) (dual of [(271, 2), 415, 46]-NRT-code) | [i] | OOA Folding | |