Information on Result #684666
Linear OA(797, 117679, F7, 18) (dual of [117679, 117582, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
- linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(767, 117649, F7, 13) (dual of [117649, 117582, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(76, 30, F7, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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(797, 117679, F7, 2, 18) (dual of [(117679, 2), 235261, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(797, 117679, F7, 3, 18) (dual of [(117679, 3), 352940, 19]-NRT-code) | [i] | ||
| 3 | Digital (79, 97, 117679)-net over F7 | [i] | ||
| 4 | Linear OOA(797, 58839, F7, 2, 18) (dual of [(58839, 2), 117581, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(797, 39226, F7, 3, 18) (dual of [(39226, 3), 117581, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(797, 13075, F7, 18, 18) (dual of [(13075, 18), 235253, 19]-NRT-code) | [i] | OA Folding and Stacking | |