Information on Result #684671
Linear OA(771, 117677, F7, 13) (dual of [117677, 117606, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- 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(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), 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(771, 117677, F7, 2, 13) (dual of [(117677, 2), 235283, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(771, 117677, F7, 3, 13) (dual of [(117677, 3), 352960, 14]-NRT-code) | [i] | ||
| 3 | Digital (58, 71, 117677)-net over F7 | [i] | ||
| 4 | Linear OOA(771, 58838, F7, 2, 13) (dual of [(58838, 2), 117605, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(771, 39225, F7, 3, 13) (dual of [(39225, 3), 117604, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(771, 19612, F7, 13, 13) (dual of [(19612, 13), 254885, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |