Information on Result #1719436
Digital (170, 195, 131080)-net over F4, using net defined by OOA based on linear OOA(4195, 131080, F4, 27, 25) (dual of [(131080, 27), 3538965, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4195, 524321, F4, 3, 25) (dual of [(524321, 3), 1572768, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4195, 524321, F4, 2, 25) (dual of [(524321, 2), 1048447, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4195, 1048642, F4, 25) (dual of [1048642, 1048447, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 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(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- OOA 2-folding [i] based on linear OA(4195, 1048642, F4, 25) (dual of [1048642, 1048447, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4195, 524321, F4, 2, 25) (dual of [(524321, 2), 1048447, 26]-NRT-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.