Information on Result #843922
Linear OOA(8112, 4194301, F8, 2, 16) (dual of [(4194301, 2), 8388490, 17]-NRT-code), using OOA 2-folding based on linear OA(8112, 8388602, F8, 16) (dual of [8388602, 8388490, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8112, large, F8, 16) (dual of [large, large−112, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(8114, 4194302, F8, 2, 16) (dual of [(4194302, 2), 8388490, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8116, 4194303, F8, 2, 16) (dual of [(4194303, 2), 8388490, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(8118, 4194304, F8, 2, 16) (dual of [(4194304, 2), 8388490, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(8120, 4194310, F8, 2, 16) (dual of [(4194310, 2), 8388500, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(8121, 4194315, F8, 2, 16) (dual of [(4194315, 2), 8388509, 17]-NRT-code) | [i] | ||