Information on Result #691788
Linear OA(16123, 65546, F16, 33) (dual of [65546, 65423, 34]-code), using construction X applied to Ce(32) ⊂ Ce(29) based on
- linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(16113, 65536, F16, 30) (dual of [65536, 65423, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(162, 10, F16, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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 OA(16122, 65545, F16, 32) (dual of [65545, 65423, 33]-code) | [i] | Truncation | |
| 2 | OA(8164, 65546, S8, 33) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(16123, 45350, F16, 2, 33) (dual of [(45350, 2), 90577, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (90, 123, 45350)-net over F16 | [i] | ||
| 5 | Linear OOA(16123, 32773, F16, 2, 33) (dual of [(32773, 2), 65423, 34]-NRT-code) | [i] | OOA Folding | |