Information on Result #628254
Linear OA(712, 4704, F7, 4) (dual of [4704, 4692, 5]-code), using trace code based on linear OA(496, 2352, F49, 4) (dual of [2352, 2346, 5]-code), using
- 1 times truncation [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
Mode: Constructive and 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(712, 4704, F7, 2, 4) (dual of [(4704, 2), 9396, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(712, 4704, F7, 3, 4) (dual of [(4704, 3), 14100, 5]-NRT-code) | [i] | ||
| 3 | Linear OA(713, 4739, F7, 4) (dual of [4739, 4726, 5]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(714, 4968, F7, 4) (dual of [4968, 4954, 5]-code) | [i] | ||
| 5 | Linear OA(713, 4706, F7, 4) (dual of [4706, 4693, 5]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(712, 2352, F7, 2, 4) (dual of [(2352, 2), 4692, 5]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(712, 2352, F7, 3, 4) (dual of [(2352, 3), 7044, 5]-NRT-code) | [i] | OA Folding and Stacking | |