Information on Result #722516
Linear OA(16127, 608, F16, 46) (dual of [608, 481, 47]-code), using construction XX applied to C1 = C([580,39]), C2 = C([0,40]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([580,40]) based on
- linear OA(16119, 585, F16, 45) (dual of [585, 466, 46]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−5,−4,…,39}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(16107, 585, F16, 41) (dual of [585, 478, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(16122, 585, F16, 46) (dual of [585, 463, 47]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(16104, 585, F16, 40) (dual of [585, 481, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(165, 20, F16, 4) (dual of [20, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(165, 24, F16, 4) (dual of [24, 19, 5]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(165, 24, F16, 4) (dual of [24, 19, 5]-code), 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(16127, 304, F16, 2, 46) (dual of [(304, 2), 481, 47]-NRT-code) | [i] | OOA Folding | |