Information on Result #812799
Linear OOA(390, 2391501, F3, 2, 10) (dual of [(2391501, 2), 4782912, 11]-NRT-code), using OOA 2-folding based on linear OA(390, 4783002, F3, 10) (dual of [4783002, 4782912, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(389, 4783001, F3, 10) (dual of [4783001, 4782912, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [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(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(390, 1682608, F3, 3, 10) (dual of [(1682608, 3), 5047734, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(390, 1682608, F3, 4, 10) (dual of [(1682608, 4), 6730342, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(390, 1682608, F3, 5, 10) (dual of [(1682608, 5), 8412950, 11]-NRT-code) | [i] | ||
| 4 | Digital (80, 90, 1682608)-net over F3 | [i] | ||