Information on Result #716578
Linear OA(8132, 529, F8, 49) (dual of [529, 397, 50]-code), using construction XX applied to C1 = C([36,81]), C2 = C([33,77]), C3 = C1 + C2 = C([36,77]), and C∩ = C1 ∩ C2 = C([33,81]) based on
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {36,37,…,81}, and designed minimum distance d ≥ |I|+1 = 47 [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 = {33,34,…,77}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,81}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8112, 511, F8, 42) (dual of [511, 399, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {36,37,…,77}, and designed minimum distance d ≥ |I|+1 = 43 [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, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [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(8132, 264, F8, 2, 49) (dual of [(264, 2), 396, 50]-NRT-code) | [i] | OOA Folding | |