Information on Result #913416
Linear OOA(496, 50, F4, 2, 80) (dual of [(50, 2), 4, 81]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(168, 10, F16, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(496, 50, F4, 2, 79) (dual of [(50, 2), 4, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(496, 50, F4, 2, 78) (dual of [(50, 2), 4, 79]-NRT-code) | [i] | ||
3 | Linear OOA(494, 49, F4, 2, 78) (dual of [(49, 2), 4, 79]-NRT-code) | [i] | Truncation for OOAs | |
4 | Linear OOA(490, 47, F4, 2, 74) (dual of [(47, 2), 4, 75]-NRT-code) | [i] | ||
5 | Linear OOA(488, 46, F4, 2, 72) (dual of [(46, 2), 4, 73]-NRT-code) | [i] | ||
6 | Linear OOA(485, 44, F4, 2, 69) (dual of [(44, 2), 3, 70]-NRT-code) | [i] | ||
7 | Linear OOA(483, 43, F4, 2, 67) (dual of [(43, 2), 3, 68]-NRT-code) | [i] | ||
8 | Linear OOA(481, 42, F4, 2, 65) (dual of [(42, 2), 3, 66]-NRT-code) | [i] | ||
9 | Linear OOA(478, 41, F4, 2, 62) (dual of [(41, 2), 4, 63]-NRT-code) | [i] |