Information on Result #1304251
Linear OA(378, 312, F3, 21) (dual of [312, 234, 22]-code), using 62 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 8 times 0, 1, 11 times 0, 1, 12 times 0, 1, 14 times 0) based on linear OA(370, 242, F3, 21) (dual of [242, 172, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
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(378, 312, F3, 2, 21) (dual of [(312, 2), 546, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(378, 312, F3, 3, 21) (dual of [(312, 3), 858, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(378, 312, F3, 4, 21) (dual of [(312, 4), 1170, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(378, 312, F3, 5, 21) (dual of [(312, 5), 1482, 22]-NRT-code) | [i] | ||
| 5 | Digital (57, 78, 312)-net over F3 | [i] | ||