Information on Result #721834
Linear OA(1694, 278, F16, 48) (dual of [278, 184, 49]-code), using construction XX applied to C1 = C([248,39]), C2 = C([0,40]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([248,40]) based on
- 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 = {−7,−6,…,39}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(1673, 255, F16, 41) (dual of [255, 182, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(1687, 255, F16, 48) (dual of [255, 168, 49]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−7,−6,…,40}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(1671, 255, F16, 40) (dual of [255, 184, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [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.