Information on Result #844084
Linear OOA(8121, 4194301, F8, 2, 18) (dual of [(4194301, 2), 8388481, 19]-NRT-code), using OOA 2-folding based on linear OA(8121, 8388602, F8, 18) (dual of [8388602, 8388481, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, 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(8123, 4194302, F8, 2, 18) (dual of [(4194302, 2), 8388481, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8125, 4194303, F8, 2, 18) (dual of [(4194303, 2), 8388481, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(8127, 4194304, F8, 2, 18) (dual of [(4194304, 2), 8388481, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(8129, 4194305, F8, 2, 18) (dual of [(4194305, 2), 8388481, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(8122, 4194301, F8, 2, 18) (dual of [(4194301, 2), 8388480, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(8130, 4194310, F8, 2, 18) (dual of [(4194310, 2), 8388490, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8131, 4194315, F8, 2, 18) (dual of [(4194315, 2), 8388499, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(8132, 4194318, F8, 2, 18) (dual of [(4194318, 2), 8388504, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(8133, 4194325, F8, 2, 18) (dual of [(4194325, 2), 8388517, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(8134, 4194326, F8, 2, 18) (dual of [(4194326, 2), 8388518, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(8135, 4194329, F8, 2, 18) (dual of [(4194329, 2), 8388523, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(8136, 4194333, F8, 2, 18) (dual of [(4194333, 2), 8388530, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(8137, 4194337, F8, 2, 18) (dual of [(4194337, 2), 8388537, 19]-NRT-code) | [i] | ||
| 14 | OOA(8136, 4194334, S8, 2, 18) | [i] | ||
| 15 | OOA(8137, 4194339, S8, 2, 18) | [i] | ||