Information on Result #684562
Linear OA(789, 823568, F7, 15) (dual of [823568, 823479, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(764, 823543, F7, 11) (dual of [823543, 823479, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 25, F7, 3) (dual of [25, 21, 4]-code or 25-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(788, 823567, F7, 14) (dual of [823567, 823479, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(789, 411784, F7, 2, 15) (dual of [(411784, 2), 823479, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(789, 274522, F7, 3, 15) (dual of [(274522, 3), 823477, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(789, 117652, F7, 15, 15) (dual of [(117652, 15), 1764691, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |