Information on Result #722018
Linear OA(16105, 277, F16, 56) (dual of [277, 172, 57]-code), using construction XX applied to C1 = C([252,51]), C2 = C([6,52]), C3 = C1 + C2 = C([6,51]), and C∩ = C1 ∩ C2 = C([252,52]) based on
- linear OA(1694, 255, F16, 55) (dual of [255, 161, 56]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,51}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(1685, 255, F16, 47) (dual of [255, 170, 48]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,52}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,52}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1683, 255, F16, 46) (dual of [255, 172, 47]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,51}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(169, 20, F16, 8) (dual of [20, 11, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(169, 24, F16, 8) (dual of [24, 15, 9]-code), using
- extended algebraic-geometric code AGe(F,15P) [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(169, 24, F16, 8) (dual of [24, 15, 9]-code), using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 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
None.