Information on Result #3257442
Digital (110, 129, 29129)-net over F4, using 41 times duplication based on digital (109, 128, 29129)-net over F4, using
- net defined by OOA [i] based on linear OOA(4128, 29129, F4, 19, 19) (dual of [(29129, 19), 553323, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(4128, 262162, F4, 19) (dual of [262162, 262034, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4128, 262164, F4, 19) (dual of [262164, 262036, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(4127, 262145, F4, 19) (dual of [262145, 262018, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4128, 262164, F4, 19) (dual of [262164, 262036, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(4128, 262162, F4, 19) (dual of [262162, 262034, 20]-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.