Information on Result #894949
Linear OOA(3115, 4783000, F3, 2, 9) (dual of [(4783000, 2), 9565885, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(329, 4782968, F3, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 29, 4782968)-net over F3, using
- linear OOA(386, 2391500, F3, 2, 9) (dual of [(2391500, 2), 4782914, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(386, 4783000, F3, 9) (dual of [4783000, 4782914, 10]-code), using
- construction X4 applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(385, 4782970, F3, 9) (dual of [4782970, 4782885, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(329, 30, F3, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,3)), using
- dual of repetition code with length 30 [i]
- linear OA(31, 30, F3, 1) (dual of [30, 29, 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 X4 applied to C([0,4]) ⊂ C([0,3]) [i] based on
- OOA 2-folding [i] based on linear OA(386, 4783000, F3, 9) (dual of [4783000, 4782914, 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(3115, 2391500, F3, 4, 9) (dual of [(2391500, 4), 9565885, 10]-NRT-code) | [i] | OOA Folding | |