Information on Result #1714718
Digital (133, 154, 29523)-net over F3, using net defined by OOA based on linear OOA(3154, 29523, F3, 25, 21) (dual of [(29523, 25), 737921, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3154, 59047, F3, 5, 21) (dual of [(59047, 5), 295081, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3154, 59048, F3, 5, 21) (dual of [(59048, 5), 295086, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3154, 59048, F3, 3, 21) (dual of [(59048, 3), 176990, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3154, 177144, F3, 21) (dual of [177144, 176990, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3154, 177146, F3, 21) (dual of [177146, 176992, 22]-code), using
- 1 times truncation [i] based on linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 1 times truncation [i] based on linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3154, 177146, F3, 21) (dual of [177146, 176992, 22]-code), using
- OOA 3-folding [i] based on linear OA(3154, 177144, F3, 21) (dual of [177144, 176990, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3154, 59048, F3, 3, 21) (dual of [(59048, 3), 176990, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3154, 59048, F3, 5, 21) (dual of [(59048, 5), 295086, 22]-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.