Information on Result #1304774
Linear OA(3149, 854, F3, 35) (dual of [854, 705, 36]-code), using 106 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0, 1, 13 times 0, 1, 16 times 0, 1, 19 times 0, 1, 22 times 0) based on linear OA(3136, 735, F3, 35) (dual of [735, 599, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3136, 729, F3, 35) (dual of [729, 593, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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(3149, 854, F3, 2, 35) (dual of [(854, 2), 1559, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3149, 854, F3, 3, 35) (dual of [(854, 3), 2413, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3149, 854, F3, 4, 35) (dual of [(854, 4), 3267, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3149, 854, F3, 5, 35) (dual of [(854, 5), 4121, 36]-NRT-code) | [i] | ||
| 5 | Digital (114, 149, 854)-net over F3 | [i] | ||