Information on Result #716726
Linear OA(8141, 530, F8, 52) (dual of [530, 389, 53]-code), using construction XX applied to C1 = C([24,72]), C2 = C([28,75]), C3 = C1 + C2 = C([28,72]), and C∩ = C1 ∩ C2 = C([24,75]) based on
- linear OA(8129, 511, F8, 49) (dual of [511, 382, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {24,25,…,72}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,75}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8136, 511, F8, 52) (dual of [511, 375, 53]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {24,25,…,75}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8120, 511, F8, 45) (dual of [511, 391, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,72}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(8141, 265, F8, 2, 52) (dual of [(265, 2), 389, 53]-NRT-code) | [i] | OOA Folding | |