Information on Result #622098
Linear OA(1617, 20, F16, 16) (dual of [20, 3, 17]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(1616, 17, F16, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,16)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(1614, 17, F16, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(4154, 80, F4, 2, 118) (dual of [(80, 2), 6, 119]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(4148, 76, F4, 2, 118) (dual of [(76, 2), 4, 119]-NRT-code) | [i] | ||
| 3 | Linear OOA(4194, 100, F4, 2, 152) (dual of [(100, 2), 6, 153]-NRT-code) | [i] | ||
| 4 | Linear OOA(4186, 95, F4, 2, 152) (dual of [(95, 2), 4, 153]-NRT-code) | [i] | ||
| 5 | Linear OOA(2228, 60, F2, 4, 152) (dual of [(60, 4), 12, 153]-NRT-code) | [i] | ||