Information on Result #1716408
Digital (153, 185, 1263)-net over F3, using net defined by OOA based on linear OOA(3185, 1263, F3, 36, 32) (dual of [(1263, 36), 45283, 33]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3185, 5053, F3, 4, 32) (dual of [(5053, 4), 20027, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3185, 5054, F3, 4, 32) (dual of [(5054, 4), 20031, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3185, 5054, F3, 32) (dual of [5054, 4869, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3185, 6578, F3, 32) (dual of [6578, 6393, 33]-code), using
- (u, u+v)-construction [i] based on
- linear OA(316, 17, F3, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,3)), using
- dual of repetition code with length 17 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using
- an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(316, 17, F3, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,3)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(3185, 6578, F3, 32) (dual of [6578, 6393, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3185, 5054, F3, 32) (dual of [5054, 4869, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(3185, 5054, F3, 4, 32) (dual of [(5054, 4), 20031, 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.