Information on Result #918100
Linear OOA(498, 55, F4, 2, 67) (dual of [(55, 2), 12, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1616, 11, F16, 2, 16) (dual of [(11, 2), 6, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1616, 16, F16, 2, 16) (dual of [(16, 2), 16, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(2;16,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1616, 16, F16, 2, 16) (dual of [(16, 2), 16, 17]-NRT-code), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(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(498, 55, F4, 2, 66) (dual of [(55, 2), 12, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(495, 53, F4, 2, 64) (dual of [(53, 2), 11, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(494, 53, F4, 2, 63) (dual of [(53, 2), 12, 64]-NRT-code) | [i] | ||
| 4 | Linear OOA(491, 51, F4, 2, 60) (dual of [(51, 2), 11, 61]-NRT-code) | [i] | ||