Information on Result #731070
Linear OA(794, 4806, F7, 24) (dual of [4806, 4712, 25]-code), using trace code based on linear OA(4947, 2403, F49, 24) (dual of [2403, 2356, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(4947, 2401, F49, 24) (dual of [2401, 2354, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(4945, 2401, F49, 23) (dual of [2401, 2356, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(795, 4807, F7, 24) (dual of [4807, 4712, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(794, 4806, F7, 2, 24) (dual of [(4806, 2), 9518, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(794, 4806, F7, 3, 24) (dual of [(4806, 3), 14324, 25]-NRT-code) | [i] | ||
| 4 | Digital (70, 94, 4806)-net over F7 | [i] | ||
| 5 | Linear OA(795, 4972, F7, 24) (dual of [4972, 4877, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(796, 5322, F7, 24) (dual of [5322, 5226, 25]-code) | [i] | ||
| 7 | Linear OOA(794, 2403, F7, 2, 24) (dual of [(2403, 2), 4712, 25]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(794, 1602, F7, 3, 24) (dual of [(1602, 3), 4712, 25]-NRT-code) | [i] | ||