Information on Result #1310738
Linear OA(5111, 4201, F5, 25) (dual of [4201, 4090, 26]-code), using 1066 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 25 times 0, 1, 52 times 0, 1, 97 times 0, 1, 154 times 0, 1, 205 times 0, 1, 241 times 0, 1, 266 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(5111, 4201, F5, 2, 25) (dual of [(4201, 2), 8291, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5111, 4201, F5, 3, 25) (dual of [(4201, 3), 12492, 26]-NRT-code) | [i] | ||
| 3 | Digital (86, 111, 4201)-net over F5 | [i] | ||