Information on Result #722242
Linear OA(16122, 285, F16, 64) (dual of [285, 163, 65]-code), using construction XX applied to C1 = C([246,53]), C2 = C([0,54]), C3 = C1 + C2 = C([0,53]), and C∩ = C1 ∩ C2 = C([246,54]) based on
- linear OA(16110, 255, F16, 63) (dual of [255, 145, 64]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−9,−8,…,53}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(1694, 255, F16, 55) (dual of [255, 161, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(16112, 255, F16, 64) (dual of [255, 143, 65]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−9,−8,…,54}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(1692, 255, F16, 54) (dual of [255, 163, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(1610, 28, F16, 8) (dual of [28, 18, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 33, F16, 8) (dual of [33, 23, 9]-code), using
- extended algebraic-geometric code AGe(F,24P) [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(1610, 33, F16, 8) (dual of [33, 23, 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.