Information on Result #1782706
Digital (200, 233, 132608)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4233, 132608, F4, 33) (dual of [132608, 132375, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4233, 262162, F4, 33) (dual of [262162, 261929, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([1,16]) [i] based on
- linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4216, 262145, F4, 16) (dual of [262145, 261929, 17]-code), using the narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(416, 17, F4, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,4)), using
- dual of repetition code with length 17 [i]
- construction X applied to C([0,16]) ⊂ C([1,16]) [i] based on
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.