Information on Result #684975
Linear OA(762, 2410, F7, 18) (dual of [2410, 2348, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(761, 2401, F7, 18) (dual of [2401, 2340, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(762, 1880, F7, 2, 18) (dual of [(1880, 2), 3698, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(762, 1880, F7, 3, 18) (dual of [(1880, 3), 5578, 19]-NRT-code) | [i] | ||
| 3 | Digital (44, 62, 1880)-net over F7 | [i] | ||
| 4 | Linear OOA(762, 1205, F7, 2, 18) (dual of [(1205, 2), 2348, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(762, 803, F7, 3, 18) (dual of [(803, 3), 2347, 19]-NRT-code) | [i] | ||