Information on Result #1712424
Digital (53, 61, 265725)-net over F3, using net defined by OOA based on linear OOA(361, 265725, F3, 12, 8) (dual of [(265725, 12), 3188639, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(361, 265726, F3, 4, 8) (dual of [(265726, 4), 1062843, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(361, 265726, F3, 2, 8) (dual of [(265726, 2), 531391, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(361, 531452, F3, 8) (dual of [531452, 531391, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(361, 531453, F3, 8) (dual of [531453, 531392, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(361, 531441, F3, 8) (dual of [531441, 531380, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(361, 531453, F3, 8) (dual of [531453, 531392, 9]-code), using
- OOA 2-folding [i] based on linear OA(361, 531452, F3, 8) (dual of [531452, 531391, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(361, 265726, F3, 2, 8) (dual of [(265726, 2), 531391, 9]-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.