Information on Result #1016099
Linear OOA(9109, 5592802, F9, 3, 12) (dual of [(5592802, 3), 16778297, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(919, 400, F9, 3, 6) (dual of [(400, 3), 1181, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
- linear OOA(914, 200, F9, 3, 6) (dual of [(200, 3), 586, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 14, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 7, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- trace code for nets [i] based on digital (1, 7, 100)-net over F81, using
- extracting embedded OOA [i] based on digital (8, 14, 200)-net over F9, using
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
Mode: Constructive and 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(9109, 2796400, F9, 15, 12) (dual of [(2796400, 15), 41945891, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |