Information on Result #976440
Linear OOA(793, 274517, F7, 3, 16) (dual of [(274517, 3), 823458, 17]-NRT-code), using OOA 3-folding based on linear OA(793, 823551, F7, 16) (dual of [823551, 823458, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(792, 823550, F7, 16) (dual of [823550, 823458, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 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
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
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(794, 274517, F7, 3, 16) (dual of [(274517, 3), 823457, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(7102, 274530, F7, 3, 16) (dual of [(274530, 3), 823488, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |