Information on Result #1717458
Digital (53, 63, 29070)-net over F4, using net defined by OOA based on linear OOA(463, 29070, F4, 15, 10) (dual of [(29070, 15), 435987, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(463, 58141, F4, 3, 10) (dual of [(58141, 3), 174360, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(463, 58142, F4, 3, 10) (dual of [(58142, 3), 174363, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(463, 58142, F4, 10) (dual of [58142, 58079, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(463, 65548, F4, 10) (dual of [65548, 65485, 11]-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(457, 65536, F4, 10) (dual of [65536, 65479, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(463, 65548, F4, 10) (dual of [65548, 65485, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(463, 58142, F4, 10) (dual of [58142, 58079, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(463, 58142, F4, 3, 10) (dual of [(58142, 3), 174363, 11]-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.