Information on Result #1716724
Digital (168, 203, 1362)-net over F3, using net defined by OOA based on linear OOA(3203, 1362, F3, 45, 35) (dual of [(1362, 45), 61087, 36]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3203, 5449, F3, 5, 35) (dual of [(5449, 5), 27042, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 5450, F3, 5, 35) (dual of [(5450, 5), 27047, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3203, 5450, F3, 35) (dual of [5450, 5247, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3203, 6619, F3, 35) (dual of [6619, 6416, 36]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3200, 6616, F3, 35) (dual of [6616, 6416, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(27) [i] based on
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(315, 55, F3, 6) (dual of [55, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(34) ⊂ Ce(27) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(3200, 6616, F3, 35) (dual of [6616, 6416, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3203, 6619, F3, 35) (dual of [6619, 6416, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3203, 5450, F3, 35) (dual of [5450, 5247, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 5450, F3, 5, 35) (dual of [(5450, 5), 27047, 36]-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.