Information on Result #1734300
Digital (45, 60, 27547)-net over F16, using net defined by OOA based on linear OOA(1660, 27547, F16, 18, 15) (dual of [(27547, 18), 495786, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1660, 110189, F16, 2, 15) (dual of [(110189, 2), 220318, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1660, 110190, F16, 2, 15) (dual of [(110190, 2), 220320, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1660, 110190, F16, 15) (dual of [110190, 110130, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1660, 131084, F16, 15) (dual of [131084, 131024, 16]-code), using
- trace code [i] based on linear OA(25630, 65542, F256, 15) (dual of [65542, 65512, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(25625, 65537, F256, 13) (dual of [65537, 65512, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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([0,7]) ⊂ C([0,6]) [i] based on
- trace code [i] based on linear OA(25630, 65542, F256, 15) (dual of [65542, 65512, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1660, 131084, F16, 15) (dual of [131084, 131024, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1660, 110190, F16, 15) (dual of [110190, 110130, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(1660, 110190, F16, 2, 15) (dual of [(110190, 2), 220320, 16]-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.