Information on Result #1721742
Digital (20, 27, 2804)-net over F5, using net defined by OOA based on linear OOA(527, 2804, F5, 9, 7) (dual of [(2804, 9), 25209, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(527, 2805, F5, 3, 7) (dual of [(2805, 3), 8388, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(527, 2805, F5, 7) (dual of [2805, 2778, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(527, 3132, F5, 7) (dual of [3132, 3105, 8]-code), using
- construction X4 applied to C([0,6]) ⊂ C([1,5]) [i] based on
- linear OA(526, 3124, F5, 7) (dual of [3124, 3098, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(520, 3124, F5, 5) (dual of [3124, 3104, 6]-code), using the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(57, 8, F5, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,5)), using
- dual of repetition code with length 8 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to C([0,6]) ⊂ C([1,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(527, 3132, F5, 7) (dual of [3132, 3105, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(527, 2805, F5, 7) (dual of [2805, 2778, 8]-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.