Information on Result #1712272
Digital (27, 34, 3284)-net over F3, using net defined by OOA based on linear OOA(334, 3284, F3, 9, 7) (dual of [(3284, 9), 29522, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(334, 3285, F3, 3, 7) (dual of [(3285, 3), 9821, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(334, 3285, F3, 2, 7) (dual of [(3285, 2), 6536, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(334, 6570, F3, 7) (dual of [6570, 6536, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- 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(325, 6561, F3, 5) (dual of [6561, 6536, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(334, 6570, F3, 7) (dual of [6570, 6536, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(334, 3285, F3, 2, 7) (dual of [(3285, 2), 6536, 8]-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.