Information on Result #684658
Linear OA(777, 117671, F7, 15) (dual of [117671, 117594, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-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 OA(776, 117670, F7, 14) (dual of [117670, 117594, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(777, 58835, F7, 2, 15) (dual of [(58835, 2), 117593, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(777, 39223, F7, 3, 15) (dual of [(39223, 3), 117592, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(777, 16810, F7, 15, 15) (dual of [(16810, 15), 252073, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |