Information on Result #1763402
Digital (107, 132, 2966)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3132, 2966, F3, 2, 25) (dual of [(2966, 2), 5800, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3132, 3287, F3, 2, 25) (dual of [(3287, 2), 6442, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3132, 6574, F3, 25) (dual of [6574, 6442, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3132, 6574, F3, 25) (dual of [6574, 6442, 26]-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.