Information on Result #844003
Linear OOA(8113, 4194301, F8, 2, 17) (dual of [(4194301, 2), 8388489, 18]-NRT-code), using OOA 2-folding based on linear OA(8113, 8388602, F8, 17) (dual of [8388602, 8388489, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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(8113, 4194301, F8, 2, 16) (dual of [(4194301, 2), 8388489, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8115, 4194302, F8, 2, 17) (dual of [(4194302, 2), 8388489, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8117, 4194303, F8, 2, 17) (dual of [(4194303, 2), 8388489, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8119, 4194304, F8, 2, 17) (dual of [(4194304, 2), 8388489, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(8114, 4194301, F8, 2, 17) (dual of [(4194301, 2), 8388488, 18]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(8121, 4194310, F8, 2, 17) (dual of [(4194310, 2), 8388499, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8122, 4194315, F8, 2, 17) (dual of [(4194315, 2), 8388508, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(8123, 4194318, F8, 2, 17) (dual of [(4194318, 2), 8388513, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(8124, 4194325, F8, 2, 17) (dual of [(4194325, 2), 8388526, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(8125, 4194326, F8, 2, 17) (dual of [(4194326, 2), 8388527, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(8126, 4194329, F8, 2, 17) (dual of [(4194329, 2), 8388532, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(8127, 4194332, F8, 2, 17) (dual of [(4194332, 2), 8388537, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(8128, 4194366, F8, 2, 17) (dual of [(4194366, 2), 8388604, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(8129, 4194431, F8, 2, 17) (dual of [(4194431, 2), 8388733, 18]-NRT-code) | [i] | ||
| 15 | OOA(8127, 4194334, S8, 2, 17) | [i] | ||