Information on Result #1712666
Digital (42, 52, 3286)-net over F3, using net defined by OOA based on linear OOA(352, 3286, F3, 15, 10) (dual of [(3286, 15), 49238, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(352, 3287, F3, 5, 10) (dual of [(3287, 5), 16383, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(352, 3287, F3, 2, 10) (dual of [(3287, 2), 6522, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(352, 6574, F3, 10) (dual of [6574, 6522, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(9) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(352, 6574, F3, 10) (dual of [6574, 6522, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(352, 3287, F3, 2, 10) (dual of [(3287, 2), 6522, 11]-NRT-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.