Information on Result #1773179
Digital (61, 70, 2097162)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(470, 2097162, F4, 2, 9) (dual of [(2097162, 2), 4194254, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(470, 4194324, F4, 9) (dual of [4194324, 4194254, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(470, 4194325, F4, 9) (dual of [4194325, 4194255, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(470, 4194325, F4, 9) (dual of [4194325, 4194255, 10]-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.