Information on Result #1767726
Digital (174, 198, 177157)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3198, 177157, F3, 3, 24) (dual of [(177157, 3), 531273, 25]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3195, 177156, F3, 3, 24) (dual of [(177156, 3), 531273, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3195, 531468, F3, 24) (dual of [531468, 531273, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3194, 531467, F3, 24) (dual of [531467, 531273, 25]-code), using
- construction X4 applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
- dual of repetition code with length 26 [i]
- linear OA(31, 26, F3, 1) (dual of [26, 25, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(24) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3194, 531467, F3, 24) (dual of [531467, 531273, 25]-code), using
- OOA 3-folding [i] based on linear OA(3195, 531468, F3, 24) (dual of [531468, 531273, 25]-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.