Information on Result #685002
Linear OA(757, 2417, F7, 16) (dual of [2417, 2360, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(741, 2401, F7, 12) (dual of [2401, 2360, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-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(757, 2411, F7, 2, 16) (dual of [(2411, 2), 4765, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(757, 2411, F7, 3, 16) (dual of [(2411, 3), 7176, 17]-NRT-code) | [i] | ||
| 3 | Digital (41, 57, 2411)-net over F7 | [i] | ||
| 4 | Linear OOA(757, 1208, F7, 2, 16) (dual of [(1208, 2), 2359, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(757, 805, F7, 3, 16) (dual of [(805, 3), 2358, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(757, 302, F7, 16, 16) (dual of [(302, 16), 4775, 17]-NRT-code) | [i] | OA Folding and Stacking | |