Information on Result #1028821
Linear OOA(2209, 93, F2, 3, 89) (dual of [(93, 3), 70, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3217, 31, F32, 17) (dual of [31, 14, 18]-code or 31-arc in PG(16,32)), using
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- Reed–Solomon code RS(15,32) [i]
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [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(2209, 93, F2, 3, 88) (dual of [(93, 3), 70, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 93, F2, 3, 87) (dual of [(93, 3), 70, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(2212, 94, F2, 3, 89) (dual of [(94, 3), 70, 90]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2210, 93, F2, 3, 89) (dual of [(93, 3), 69, 90]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2211, 93, F2, 3, 89) (dual of [(93, 3), 68, 90]-NRT-code) | [i] | ||
| 6 | Linear OOA(2208, 92, F2, 3, 88) (dual of [(92, 3), 68, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2207, 92, F2, 3, 87) (dual of [(92, 3), 69, 88]-NRT-code) | [i] | ||
| 8 | Linear OOA(2206, 92, F2, 3, 86) (dual of [(92, 3), 70, 87]-NRT-code) | [i] | ||
| 9 | Linear OOA(2209, 46, F2, 6, 89) (dual of [(46, 6), 67, 90]-NRT-code) | [i] | OOA Folding | |