Information on Result #1738860
Digital (53, 70, 132867)-net over F27, using net defined by OOA based on linear OOA(2770, 132867, F27, 18, 17) (dual of [(132867, 18), 2391536, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2770, 531469, F27, 2, 17) (dual of [(531469, 2), 1062868, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2770, 531470, F27, 2, 17) (dual of [(531470, 2), 1062870, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2770, 531470, F27, 17) (dual of [531470, 531400, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(2765, 531442, F27, 17) (dual of [531442, 531377, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2741, 531442, F27, 11) (dual of [531442, 531401, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using
- extended Reed–Solomon code RSe(23,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2770, 531470, F27, 17) (dual of [531470, 531400, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(2770, 531470, F27, 2, 17) (dual of [(531470, 2), 1062870, 18]-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.