Information on Result #1712662
Digital (40, 50, 3152)-net over F3, using net defined by OOA based on linear OOA(350, 3152, F3, 15, 10) (dual of [(3152, 15), 47230, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(350, 3153, F3, 5, 10) (dual of [(3153, 5), 15715, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(350, 3153, F3, 2, 10) (dual of [(3153, 2), 6256, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(350, 3285, F3, 2, 10) (dual of [(3285, 2), 6520, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(350, 6570, F3, 10) (dual of [6570, 6520, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [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(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(9) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(350, 6570, F3, 10) (dual of [6570, 6520, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(350, 3285, F3, 2, 10) (dual of [(3285, 2), 6520, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(350, 3153, F3, 2, 10) (dual of [(3153, 2), 6256, 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.