Information on Result #1813279
Digital (4, 10, 385)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12810, 385, F128, 6) (dual of [385, 375, 7]-code), using
- construction XX applied to C1 = C([380,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([380,4]) [i] based on
- linear OA(1288, 381, F128, 5) (dual of [381, 373, 6]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1288, 381, F128, 5) (dual of [381, 373, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(12810, 381, F128, 6) (dual of [381, 371, 7]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(1286, 381, F128, 4) (dual of [381, 375, 5]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code) (see above)
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.