Information on Result #1783455
Digital (211, 241, 544980)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4241, 544980, F4, 30) (dual of [544980, 544739, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, 1048656, F4, 30) (dual of [1048656, 1048415, 31]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4239, 1048654, F4, 30) (dual of [1048654, 1048415, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(418, 78, F4, 7) (dual of [78, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4239, 1048654, F4, 30) (dual of [1048654, 1048415, 31]-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.