Information on Result #1721438
Digital (189, 231, 2170)-net over F4, using net defined by OOA based on linear OOA(4231, 2170, F4, 45, 42) (dual of [(2170, 45), 97419, 43]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(4231, 15191, F4, 3, 42) (dual of [(15191, 3), 45342, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4231, 15191, F4, 42) (dual of [15191, 14960, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4231, 16406, F4, 42) (dual of [16406, 16175, 43]-code), using
- construction X applied to C([0,21]) ⊂ C([0,18]) [i] based on
- linear OA(4225, 16385, F4, 43) (dual of [16385, 16160, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(4197, 16385, F4, 37) (dual of [16385, 16188, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- construction X applied to C([0,21]) ⊂ C([0,18]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4231, 16406, F4, 42) (dual of [16406, 16175, 43]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4231, 15191, F4, 42) (dual of [15191, 14960, 43]-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.