Information on Result #1716004
Digital (157, 186, 3375)-net over F3, using net defined by OOA based on linear OOA(3186, 3375, F3, 35, 29) (dual of [(3375, 35), 117939, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3186, 10126, F3, 5, 29) (dual of [(10126, 5), 50444, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3186, 10126, F3, 29) (dual of [10126, 9940, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3186, 19698, F3, 29) (dual of [19698, 19512, 30]-code), using
- (u, u+v)-construction [i] based on
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(3186, 19698, F3, 29) (dual of [19698, 19512, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3186, 10126, F3, 29) (dual of [10126, 9940, 30]-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.