Information on Result #1717076
Digital (199, 240, 1605)-net over F3, using net defined by OOA based on linear OOA(3240, 1605, F3, 45, 41) (dual of [(1605, 45), 71985, 42]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3240, 6421, F3, 5, 41) (dual of [(6421, 5), 31865, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3240, 6423, F3, 5, 41) (dual of [(6423, 5), 31875, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3240, 6423, F3, 41) (dual of [6423, 6183, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, 6632, F3, 41) (dual of [6632, 6392, 42]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3238, 6630, F3, 41) (dual of [6630, 6392, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(31) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(321, 69, F3, 8) (dual of [69, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- construction X applied to Ce(40) ⊂ Ce(31) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3238, 6630, F3, 41) (dual of [6630, 6392, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, 6632, F3, 41) (dual of [6632, 6392, 42]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3240, 6423, F3, 41) (dual of [6423, 6183, 42]-code), using
- discarding factors / shortening the dual code based on linear OOA(3240, 6423, F3, 5, 41) (dual of [(6423, 5), 31875, 42]-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.