Information on Result #684638
Linear OA(792, 117662, F7, 18) (dual of [117662, 117570, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(71, 13, F7, 1) (dual of [13, 12, 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(792, 72581, F7, 2, 18) (dual of [(72581, 2), 145070, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(792, 72581, F7, 3, 18) (dual of [(72581, 3), 217651, 19]-NRT-code) | [i] | ||
| 3 | Digital (74, 92, 72581)-net over F7 | [i] | ||
| 4 | Linear OOA(792, 58831, F7, 2, 18) (dual of [(58831, 2), 117570, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(792, 39220, F7, 3, 18) (dual of [(39220, 3), 117568, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(792, 13073, F7, 18, 18) (dual of [(13073, 18), 235222, 19]-NRT-code) | [i] | OA Folding and Stacking | |