Information on Result #1720832
Digital (181, 216, 6113)-net over F4, using net defined by OOA based on linear OOA(4216, 6113, F4, 39, 35) (dual of [(6113, 39), 238191, 36]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4216, 36679, F4, 3, 35) (dual of [(36679, 3), 109821, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4216, 36680, F4, 3, 35) (dual of [(36680, 3), 109824, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4216, 36680, F4, 35) (dual of [36680, 36464, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, 65575, F4, 35) (dual of [65575, 65359, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(29) [i] based on
- linear OA(4209, 65536, F4, 35) (dual of [65536, 65327, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(34) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(4216, 65575, F4, 35) (dual of [65575, 65359, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4216, 36680, F4, 35) (dual of [36680, 36464, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(4216, 36680, F4, 3, 35) (dual of [(36680, 3), 109824, 36]-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.