Information on Result #1310898
Linear OA(5102, 733, F5, 31) (dual of [733, 631, 32]-code), using 101 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 10 times 0, 1, 19 times 0, 1, 27 times 0, 1, 33 times 0) based on linear OA(595, 625, F5, 31) (dual of [625, 530, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(5102, 733, F5, 2, 31) (dual of [(733, 2), 1364, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5102, 733, F5, 3, 31) (dual of [(733, 3), 2097, 32]-NRT-code) | [i] | ||
| 3 | Digital (71, 102, 733)-net over F5 | [i] | ||
| 4 | Linear OOA(5102, 366, F5, 2, 31) (dual of [(366, 2), 630, 32]-NRT-code) | [i] | OOA Folding | |