Information on Result #691770
Linear OA(1662, 65541, F16, 17) (dual of [65541, 65479, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- 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(1657, 65536, F16, 15) (dual of [65536, 65479, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 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 OA(1661, 65540, F16, 16) (dual of [65540, 65479, 17]-code) | [i] | Truncation | |
| 2 | OA(883, 65541, S8, 17) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(1662, 33755, F16, 2, 17) (dual of [(33755, 2), 67448, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (45, 62, 33755)-net over F16 | [i] | ||
| 5 | Linear OOA(1662, 32770, F16, 2, 17) (dual of [(32770, 2), 65478, 18]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(1662, 8192, F16, 17, 17) (dual of [(8192, 17), 139202, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |