Information on Result #1014292
Linear OOA(864, 2796266, F8, 3, 9) (dual of [(2796266, 3), 8388734, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(87, 65, F8, 3, 4) (dual of [(65, 3), 188, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 7, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(3,64) in PG(6,8)) for nets [i] based on digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base reduction for projective spaces (embedding PG(3,64) in PG(6,8)) for nets [i] based on digital (0, 4, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (3, 7, 65)-net over F8, using
- linear OOA(857, 2796201, F8, 3, 9) (dual of [(2796201, 3), 8388546, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 3-folding [i] based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-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(889, 5592532, F8, 3, 9) (dual of [(5592532, 3), 16777507, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |