Information on Result #721869
Linear OA(16105, 287, F16, 54) (dual of [287, 182, 55]-code), using construction XX applied to C1 = C([254,51]), C2 = C([11,52]), C3 = C1 + C2 = C([11,51]), and C∩ = C1 ∩ C2 = C([254,52]) based on
- linear OA(1690, 255, F16, 53) (dual of [255, 165, 54]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,51}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(1675, 255, F16, 42) (dual of [255, 180, 43]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {11,12,…,52}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(1692, 255, F16, 54) (dual of [255, 163, 55]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,52}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(1673, 255, F16, 41) (dual of [255, 182, 42]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {11,12,…,51}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(1613, 30, F16, 11) (dual of [30, 17, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-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.