Information on Result #684560
Linear OA(7103, 823568, F7, 17) (dual of [823568, 823465, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(799, 823543, F7, 17) (dual of [823543, 823444, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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 OOA(7103, 597414, F7, 2, 17) (dual of [(597414, 2), 1194725, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7103, 597414, F7, 3, 17) (dual of [(597414, 3), 1792139, 18]-NRT-code) | [i] | ||
| 3 | Digital (86, 103, 597414)-net over F7 | [i] | ||
| 4 | Linear OOA(7103, 411784, F7, 2, 17) (dual of [(411784, 2), 823465, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7103, 274522, F7, 3, 17) (dual of [(274522, 3), 823463, 18]-NRT-code) | [i] | ||