Information on Result #1717194
Digital (30, 36, 65554)-net over F4, using net defined by OOA based on linear OOA(436, 65554, F4, 9, 6) (dual of [(65554, 9), 589950, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(436, 65555, F4, 3, 6) (dual of [(65555, 3), 196629, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(436, 65555, F4, 6) (dual of [65555, 65519, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(433, 65536, F4, 6) (dual of [65536, 65503, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(417, 65536, F4, 3) (dual of [65536, 65519, 4]-code or 65536-cap in PG(16,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(436, 65555, F4, 6) (dual of [65555, 65519, 7]-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.