Information on Result #835481
Linear OOA(551, 4194301, F5, 2, 7) (dual of [(4194301, 2), 8388551, 8]-NRT-code), using OOA 2-folding based on linear OA(551, 8388602, F5, 7) (dual of [8388602, 8388551, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [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(553, 4194302, F5, 2, 7) (dual of [(4194302, 2), 8388551, 8]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(552, 4194301, F5, 2, 7) (dual of [(4194301, 2), 8388550, 8]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(554, 4194307, F5, 2, 7) (dual of [(4194307, 2), 8388560, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(555, 4194327, F5, 2, 7) (dual of [(4194327, 2), 8388599, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(556, 4194367, F5, 2, 7) (dual of [(4194367, 2), 8388678, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(557, 4194487, F5, 2, 7) (dual of [(4194487, 2), 8388917, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(558, 4194976, F5, 2, 7) (dual of [(4194976, 2), 8389894, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(559, 4196016, F5, 2, 7) (dual of [(4196016, 2), 8391973, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(560, 4199001, F5, 2, 7) (dual of [(4199001, 2), 8397942, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(561, 4211425, F5, 2, 7) (dual of [(4211425, 2), 8422789, 8]-NRT-code) | [i] | ||