Information on Result #1314271
Linear OA(16104, 279, F16, 57) (dual of [279, 175, 58]-code), using 14 step Varšamov–Edel lengthening with (ri) = (4, 0, 1, 0, 0, 0, 1, 7 times 0) based on linear OA(1698, 259, F16, 57) (dual of [259, 161, 58]-code), using
- construction XX applied to C1 = C([254,54]), C2 = C([0,55]), C3 = C1 + C2 = C([0,54]), and C∩ = C1 ∩ C2 = C([254,55]) [i] based on
- 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 = {−1,0,…,54}, and designed minimum distance d ≥ |I|+1 = 57 [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(1698, 255, F16, 57) (dual of [255, 157, 58]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,55}, and designed minimum distance d ≥ |I|+1 = 58 [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(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
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code) (see above)
Mode: 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.