Information on Result #722263
Linear OA(16117, 278, F16, 63) (dual of [278, 161, 64]-code), using construction XX applied to C1 = C([248,54]), C2 = C([0,55]), C3 = C1 + C2 = C([0,54]), and C∩ = C1 ∩ C2 = C([248,55]) based on
- linear OA(16108, 255, F16, 62) (dual of [255, 147, 63]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−7,−6,…,54}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,55], and designed minimum distance d ≥ |I|+1 = 57 [i]
- 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 = {−7,−6,…,55}, 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(167, 21, F16, 6) (dual of [21, 14, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 24, F16, 6) (dual of [24, 17, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [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(167, 24, F16, 6) (dual of [24, 17, 7]-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.