Information on Result #1719064
Digital (145, 168, 44369)-net over F4, using net defined by OOA based on linear OOA(4168, 44369, F4, 27, 23) (dual of [(44369, 27), 1197795, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4168, 177477, F4, 3, 23) (dual of [(177477, 3), 532263, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4168, 177477, F4, 23) (dual of [177477, 177309, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4168, 262186, F4, 23) (dual of [262186, 262018, 24]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 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(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4168, 262186, F4, 23) (dual of [262186, 262018, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4168, 177477, F4, 23) (dual of [177477, 177309, 24]-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.