Information on Result #722480
Linear OA(16115, 603, F16, 42) (dual of [603, 488, 43]-code), using construction XX applied to C1 = C([584,39]), C2 = C([5,40]), C3 = C1 + C2 = C([5,39]), and C∩ = C1 ∩ C2 = C([584,40]) based on
- linear OA(16107, 585, F16, 41) (dual of [585, 478, 42]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(16100, 585, F16, 36) (dual of [585, 485, 37]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {5,6,…,40}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(16110, 585, F16, 42) (dual of [585, 475, 43]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−1,0,…,40}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(1697, 585, F16, 35) (dual of [585, 488, 36]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {5,6,…,39}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(165, 15, F16, 5) (dual of [15, 10, 6]-code or 15-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(16115, 301, F16, 2, 42) (dual of [(301, 2), 487, 43]-NRT-code) | [i] | OOA Folding | |