Information on Result #1748810
Digital (25, 50, 6553)-net over F256, using net defined by OOA based on linear OOA(25650, 6553, F256, 30, 25) (dual of [(6553, 30), 196540, 26]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25650, 13107, F256, 6, 25) (dual of [(13107, 6), 78592, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25650, 13108, F256, 6, 25) (dual of [(13108, 6), 78598, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25650, 13108, F256, 5, 25) (dual of [(13108, 5), 65490, 26]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25650, 65540, F256, 25) (dual of [65540, 65490, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(25650, 65542, F256, 25) (dual of [65542, 65492, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [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(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25650, 65542, F256, 25) (dual of [65542, 65492, 26]-code), using
- OOA 5-folding [i] based on linear OA(25650, 65540, F256, 25) (dual of [65540, 65490, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25650, 13108, F256, 5, 25) (dual of [(13108, 5), 65490, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25650, 13108, F256, 6, 25) (dual of [(13108, 6), 78598, 26]-NRT-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.