Information on Result #2279094
Linear OA(780, 117656, F7, 16) (dual of [117656, 117576, 17]-code), using 1 times code embedding in larger space based on linear OA(779, 117655, F7, 16) (dual of [117655, 117576, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 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(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 6, F7, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-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(780, 59158, F7, 2, 16) (dual of [(59158, 2), 118236, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(780, 59158, F7, 3, 16) (dual of [(59158, 3), 177394, 17]-NRT-code) | [i] | ||
| 3 | Digital (64, 80, 59158)-net over F7 | [i] | ||
| 4 | Linear OOA(780, 58828, F7, 2, 16) (dual of [(58828, 2), 117576, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(780, 14707, F7, 16, 16) (dual of [(14707, 16), 235232, 17]-NRT-code) | [i] | OA Folding and Stacking | |