Information on Result #1713442
Digital (105, 120, 88572)-net over F3, using net defined by OOA based on linear OOA(3120, 88572, F3, 20, 15) (dual of [(88572, 20), 1771320, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3120, 177145, F3, 4, 15) (dual of [(177145, 4), 708460, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3120, 177146, F3, 4, 15) (dual of [(177146, 4), 708464, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3120, 177146, F3, 3, 15) (dual of [(177146, 3), 531318, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3120, 531438, F3, 15) (dual of [531438, 531318, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, 531440, F3, 15) (dual of [531440, 531320, 16]-code), using
- 1 times truncation [i] based on linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, 531440, F3, 15) (dual of [531440, 531320, 16]-code), using
- OOA 3-folding [i] based on linear OA(3120, 531438, F3, 15) (dual of [531438, 531318, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3120, 177146, F3, 3, 15) (dual of [(177146, 3), 531318, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3120, 177146, F3, 4, 15) (dual of [(177146, 4), 708464, 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.