Information on Result #691850
Linear OA(1669, 65553, F16, 18) (dual of [65553, 65484, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
- linear OA(1665, 65536, F16, 18) (dual of [65536, 65471, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1649, 65536, F16, 13) (dual of [65536, 65487, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [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(1669, 59415, F16, 2, 18) (dual of [(59415, 2), 118761, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (51, 69, 59415)-net over F16 | [i] | ||
| 3 | Linear OOA(1669, 32776, F16, 2, 18) (dual of [(32776, 2), 65483, 19]-NRT-code) | [i] | OOA Folding | |