Information on Result #1716240
Digital (211, 241, 44287)-net over F3, using net defined by OOA based on linear OOA(3241, 44287, F3, 35, 30) (dual of [(44287, 35), 1549804, 31]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3241, 132862, F3, 5, 30) (dual of [(132862, 5), 664069, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 132863, F3, 5, 30) (dual of [(132863, 5), 664074, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3241, 132863, F3, 4, 30) (dual of [(132863, 4), 531211, 31]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3241, 531452, F3, 30) (dual of [531452, 531211, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 531453, F3, 30) (dual of [531453, 531212, 31]-code), using
- 1 times truncation [i] based on linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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 X applied to Ce(30) ⊂ Ce(28) [i] based on
- 1 times truncation [i] based on linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 531453, F3, 30) (dual of [531453, 531212, 31]-code), using
- OOA 4-folding [i] based on linear OA(3241, 531452, F3, 30) (dual of [531452, 531211, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3241, 132863, F3, 4, 30) (dual of [(132863, 4), 531211, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 132863, F3, 5, 30) (dual of [(132863, 5), 664074, 31]-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.