Information on Result #2266168
Linear OA(3118, 750, F3, 29) (dual of [750, 632, 30]-code), using 1 times code embedding in larger space based on linear OA(3117, 749, F3, 29) (dual of [749, 632, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
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(3118, 615, F3, 2, 29) (dual of [(615, 2), 1112, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3118, 615, F3, 3, 29) (dual of [(615, 3), 1727, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3118, 615, F3, 4, 29) (dual of [(615, 4), 2342, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3118, 615, F3, 5, 29) (dual of [(615, 5), 2957, 30]-NRT-code) | [i] | ||
| 5 | Digital (89, 118, 615)-net over F3 | [i] | ||
| 6 | Linear OOA(3118, 375, F3, 2, 29) (dual of [(375, 2), 632, 30]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3118, 250, F3, 3, 29) (dual of [(250, 3), 632, 30]-NRT-code) | [i] | ||