Information on Result #1610977
Linear OOA(3227, 2796214, F3, 4, 22) (dual of [(2796214, 4), 11184629, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3227, 2796214, F3, 3, 22) (dual of [(2796214, 3), 8388415, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(316, 13, F3, 3, 11) (dual of [(13, 3), 23, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 16, 13)-net over F3, using
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- extracting embedded OOA [i] based on digital (5, 16, 13)-net over F3, using
- linear OOA(3211, 2796201, F3, 3, 22) (dual of [(2796201, 3), 8388392, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- OOA 3-folding [i] based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- linear OOA(316, 13, F3, 3, 11) (dual of [(13, 3), 23, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3227, 932071, F3, 28, 22) (dual of [(932071, 28), 26097761, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |