Information on Result #1080896
Linear OOA(3112, 2391492, F3, 4, 9) (dual of [(2391492, 4), 9565856, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(327, 1594322, F3, 4, 4) (dual of [(1594322, 4), 6377261, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(327, 1594322, F3, 3, 4) (dual of [(1594322, 3), 4782939, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (23, 27, 1594322)-net over F3, using
- appending kth column [i] based on linear OOA(327, 1594322, F3, 3, 4) (dual of [(1594322, 3), 4782939, 5]-NRT-code), using
- linear OOA(385, 1195746, F3, 4, 9) (dual of [(1195746, 4), 4782899, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(385, 4782984, F3, 9) (dual of [4782984, 4782899, 10]-code), using
- 1 times truncation [i] based on linear OA(386, 4782985, F3, 10) (dual of [4782985, 4782899, 11]-code), using
- construction X4 applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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 Ce(9) ⊂ Ce(7) [i] based on
- 1 times truncation [i] based on linear OA(386, 4782985, F3, 10) (dual of [4782985, 4782899, 11]-code), using
- OOA 4-folding [i] based on linear OA(385, 4782984, F3, 9) (dual of [4782984, 4782899, 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(3112, 2391491, F3, 5, 9) (dual of [(2391491, 5), 11957343, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(3112, 2391491, F3, 12, 9) (dual of [(2391491, 12), 28697780, 10]-NRT-code) | [i] | ||