Information on Result #3257578
Digital (122, 143, 26217)-net over F4, using 42 times duplication based on digital (120, 141, 26217)-net over F4, using
- net defined by OOA [i] based on linear OOA(4141, 26217, F4, 21, 21) (dual of [(26217, 21), 550416, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4141, 262171, F4, 21) (dual of [262171, 262030, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4141, 262176, F4, 21) (dual of [262176, 262035, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4141, 262176, F4, 21) (dual of [262176, 262035, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4141, 262171, F4, 21) (dual of [262171, 262030, 22]-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.