Information on Result #812790
Linear OOA(378, 265735, F3, 2, 10) (dual of [(265735, 2), 531392, 11]-NRT-code), using OOA 2-folding based on linear OA(378, 531470, F3, 10) (dual of [531470, 531392, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(377, 531469, F3, 10) (dual of [531469, 531392, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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(378, 255889, F3, 3, 10) (dual of [(255889, 3), 767589, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(378, 255889, F3, 4, 10) (dual of [(255889, 4), 1023478, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(378, 255889, F3, 5, 10) (dual of [(255889, 5), 1279367, 11]-NRT-code) | [i] | ||
| 4 | Digital (68, 78, 255889)-net over F3 | [i] | ||