Information on Result #691826
Linear OA(16120, 65554, F16, 31) (dual of [65554, 65434, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- linear OA(16117, 65536, F16, 31) (dual of [65536, 65419, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), 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 | OA(8160, 65554, S8, 31) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16120, 65554, F16, 2, 31) (dual of [(65554, 2), 130988, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (89, 120, 65554)-net over F16 | [i] | ||
| 4 | Linear OOA(16120, 32777, F16, 2, 31) (dual of [(32777, 2), 65434, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(16120, 4370, F16, 31, 31) (dual of [(4370, 31), 135350, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |