Information on Result #1314557
Linear OA(25106, 3348, F25, 41) (dual of [3348, 3242, 42]-code), using 3241 step Varšamov–Edel lengthening with (ri) = (3, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 21 times 0, 1, 23 times 0, 1, 25 times 0, 1, 27 times 0, 1, 30 times 0, 1, 32 times 0, 1, 35 times 0, 1, 39 times 0, 1, 42 times 0, 1, 45 times 0, 1, 50 times 0, 1, 53 times 0, 1, 59 times 0, 1, 63 times 0, 1, 69 times 0, 1, 75 times 0, 1, 82 times 0, 1, 88 times 0, 1, 96 times 0, 1, 104 times 0, 1, 113 times 0, 1, 123 times 0, 1, 133 times 0, 1, 144 times 0, 1, 157 times 0, 1, 170 times 0, 1, 185 times 0, 1, 200 times 0, 1, 217 times 0, 1, 235 times 0, 1, 256 times 0) based on linear OA(2541, 42, F25, 41) (dual of [42, 1, 42]-code or 42-arc in PG(40,25)), using
- dual of repetition code with length 42 [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(25106, 3348, F25, 2, 41) (dual of [(3348, 2), 6590, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (65, 106, 3348)-net over F25 | [i] | ||
| 3 | Linear OOA(25106, 1674, F25, 2, 41) (dual of [(1674, 2), 3242, 42]-NRT-code) | [i] | OOA Folding | |