Information on Result #876632
Linear OOA(8169, 4194301, F81, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using OOA 2-folding based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(8171, 4194302, F81, 2, 18) (dual of [(4194302, 2), 8388533, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8173, 4194303, F81, 2, 18) (dual of [(4194303, 2), 8388533, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(8175, 4194304, F81, 2, 18) (dual of [(4194304, 2), 8388533, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(8177, 4194305, F81, 2, 18) (dual of [(4194305, 2), 8388533, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(8170, 4194301, F81, 2, 18) (dual of [(4194301, 2), 8388532, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(9138, 8388602, F9, 2, 18) (dual of [(8388602, 2), 16777066, 19]-NRT-code) | [i] | Trace Code for OOAs | |
| 7 | Linear OOA(8178, 4194383, F81, 2, 18) (dual of [(4194383, 2), 8388688, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(8179, 4194401, F81, 2, 18) (dual of [(4194401, 2), 8388723, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(8180, 4194417, F81, 2, 18) (dual of [(4194417, 2), 8388754, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(8182, 4194465, F81, 2, 18) (dual of [(4194465, 2), 8388848, 19]-NRT-code) | [i] | ||