Information on Result #1310732
Linear OA(5105, 3174, F5, 25) (dual of [3174, 3069, 26]-code), using 45 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 25 times 0) based on linear OA(5100, 3124, F5, 25) (dual of [3124, 3024, 26]-code), using
- 1 times truncation [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(5105, 3174, F5, 2, 25) (dual of [(3174, 2), 6243, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5105, 3174, F5, 3, 25) (dual of [(3174, 3), 9417, 26]-NRT-code) | [i] | ||
| 3 | Digital (80, 105, 3174)-net over F5 | [i] | ||
| 4 | Linear OOA(5105, 1587, F5, 2, 25) (dual of [(1587, 2), 3069, 26]-NRT-code) | [i] | OOA Folding | |