Information on Result #1814789
Digital (31, 56, 28927)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25656, 28927, F256, 2, 25) (dual of [(28927, 2), 57798, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25656, 32780, F256, 2, 25) (dual of [(32780, 2), 65504, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25656, 65560, F256, 25) (dual of [65560, 65504, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- OOA 2-folding [i] based on linear OA(25656, 65560, F256, 25) (dual of [65560, 65504, 26]-code), using
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.