Information on Result #1776324
Digital (128, 147, 524306)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4147, 524306, F4, 2, 19) (dual of [(524306, 2), 1048465, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4147, 1048612, F4, 19) (dual of [1048612, 1048465, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4146, 1048611, F4, 19) (dual of [1048611, 1048465, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(4141, 1048576, F4, 19) (dual of [1048576, 1048435, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4146, 1048611, F4, 19) (dual of [1048611, 1048465, 20]-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.