Information on Result #1186556
Digital (112, 128, 131077)-net over F4, using net defined by OOA based on linear OOA(4128, 131077, F4, 16, 16) (dual of [(131077, 16), 2097104, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(4128, 1048616, F4, 16) (dual of [1048616, 1048488, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4128, 1048620, F4, 16) (dual of [1048620, 1048492, 17]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(481, 1048577, F4, 11) (dual of [1048577, 1048496, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4128, 1048620, F4, 16) (dual of [1048620, 1048492, 17]-code), using
Mode: Constructive and 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.