Information on Result #1713392
Digital (75, 90, 4164)-net over F3, using net defined by OOA based on linear OOA(390, 4164, F3, 20, 15) (dual of [(4164, 20), 83190, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(390, 8329, F3, 4, 15) (dual of [(8329, 4), 33226, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(390, 8330, F3, 4, 15) (dual of [(8330, 4), 33230, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(390, 8330, F3, 2, 15) (dual of [(8330, 2), 16570, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(390, 9841, F3, 2, 15) (dual of [(9841, 2), 19592, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 19682, F3, 15) (dual of [19682, 19592, 16]-code), using
- 1 times truncation [i] based on linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using
- OOA 2-folding [i] based on linear OA(390, 19682, F3, 15) (dual of [19682, 19592, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(390, 9841, F3, 2, 15) (dual of [(9841, 2), 19592, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(390, 8330, F3, 2, 15) (dual of [(8330, 2), 16570, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(390, 8330, F3, 4, 15) (dual of [(8330, 4), 33230, 16]-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.