Information on Result #686102
Linear OA(735, 60, F7, 20) (dual of [60, 25, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
- linear OA(731, 49, F7, 20) (dual of [49, 18, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(724, 49, F7, 16) (dual of [49, 25, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(74, 11, F7, 3) (dual of [11, 7, 4]-code or 11-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(735, 30, F7, 2, 20) (dual of [(30, 2), 25, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(735, 20, F7, 3, 20) (dual of [(20, 3), 25, 21]-NRT-code) | [i] | ||