Information on Result #1716422
Digital (160, 192, 1942)-net over F3, using net defined by OOA based on linear OOA(3192, 1942, F3, 36, 32) (dual of [(1942, 36), 69720, 33]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3192, 7769, F3, 4, 32) (dual of [(7769, 4), 30884, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 7771, F3, 4, 32) (dual of [(7771, 4), 30892, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3192, 7771, F3, 2, 32) (dual of [(7771, 2), 15350, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 9847, F3, 2, 32) (dual of [(9847, 2), 19502, 33]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3190, 9846, F3, 2, 32) (dual of [(9846, 2), 19502, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3190, 19692, F3, 32) (dual of [19692, 19502, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 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(31) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(3190, 19692, F3, 32) (dual of [19692, 19502, 33]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3190, 9846, F3, 2, 32) (dual of [(9846, 2), 19502, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 9847, F3, 2, 32) (dual of [(9847, 2), 19502, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3192, 7771, F3, 2, 32) (dual of [(7771, 2), 15350, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 7771, F3, 4, 32) (dual of [(7771, 4), 30892, 33]-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.