Information on Result #1762298
Digital (97, 109, 797177)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3109, 797177, F3, 2, 12) (dual of [(797177, 2), 1594245, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3107, 797176, F3, 2, 12) (dual of [(797176, 2), 1594245, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3107, 1594352, F3, 12) (dual of [1594352, 1594245, 13]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3106, 1594351, F3, 12) (dual of [1594351, 1594245, 13]-code), using
- construction X4 applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(327, 28, F3, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,3)), using
- dual of repetition code with length 28 [i]
- linear OA(31, 28, F3, 1) (dual of [28, 27, 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(12) ⊂ Ce(9) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3106, 1594351, F3, 12) (dual of [1594351, 1594245, 13]-code), using
- OOA 2-folding [i] based on linear OA(3107, 1594352, F3, 12) (dual of [1594352, 1594245, 13]-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.