Information on Result #1717594
Digital (84, 95, 1342088)-net over F4, using net defined by OOA based on linear OOA(495, 1342088, F4, 15, 11) (dual of [(1342088, 15), 20131225, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(495, 2684177, F4, 3, 11) (dual of [(2684177, 3), 8052436, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(495, 2684178, F4, 3, 11) (dual of [(2684178, 3), 8052439, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(495, 2684178, F4, 11) (dual of [2684178, 2684083, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(495, 4194317, F4, 11) (dual of [4194317, 4194222, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- linear OA(489, 4194305, F4, 11) (dual of [4194305, 4194216, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(495, 4194317, F4, 11) (dual of [4194317, 4194222, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(495, 2684178, F4, 11) (dual of [2684178, 2684083, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(495, 2684178, F4, 3, 11) (dual of [(2684178, 3), 8052439, 12]-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.