Information on Result #1719714
Digital (153, 180, 13122)-net over F4, using net defined by OOA based on linear OOA(4180, 13122, F4, 33, 27) (dual of [(13122, 33), 432846, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4180, 65611, F4, 3, 27) (dual of [(65611, 3), 196653, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4180, 65611, F4, 27) (dual of [65611, 65431, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(17) [i] based on
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(419, 75, F4, 8) (dual of [75, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 87, F4, 8) (dual of [87, 68, 9]-code), using
- construction X applied to Ce(26) ⊂ Ce(17) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4180, 65611, F4, 27) (dual of [65611, 65431, 28]-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.