Information on Result #691846
Linear OA(1680, 65554, F16, 21) (dual of [65554, 65474, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(1677, 65536, F16, 21) (dual of [65536, 65459, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1661, 65536, F16, 17) (dual of [65536, 65475, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(8107, 65554, S8, 21) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1680, 53660, F16, 2, 21) (dual of [(53660, 2), 107240, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (59, 80, 53660)-net over F16 | [i] | ||
| 4 | Linear OOA(1680, 32777, F16, 2, 21) (dual of [(32777, 2), 65474, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(1680, 6555, F16, 21, 21) (dual of [(6555, 21), 137575, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |