Information on Result #1714999
Linear OOA(3241, 1326616, F3, 28, 22) (dual of [(1326616, 28), 37145007, 23]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(3241, 3979849, F3, 4, 22) (dual of [(3979849, 4), 15919155, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 3979850, F3, 4, 22) (dual of [(3979850, 4), 15919159, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3241, 3979850, F3, 2, 22) (dual of [(3979850, 2), 7959459, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 4194361, F3, 2, 22) (dual of [(4194361, 2), 8388481, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(330, 60, F3, 2, 11) (dual of [(60, 2), 90, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (19, 30, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 15, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- trace code for nets [i] based on digital (4, 15, 30)-net over F9, using
- extracting embedded OOA [i] based on digital (19, 30, 60)-net over F3, using
- linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- linear OOA(330, 60, F3, 2, 11) (dual of [(60, 2), 90, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3241, 4194361, F3, 2, 22) (dual of [(4194361, 2), 8388481, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3241, 3979850, F3, 2, 22) (dual of [(3979850, 2), 7959459, 23]-NRT-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Digital (219, 241, 1326616)-net over F3 | [i] | Net Defined by OOA |