Information on Result #665206
Linear OA(1658, 4141, F16, 17) (dual of [4141, 4083, 18]-code), using (u, u+v)-construction based on
- linear OA(1612, 45, F16, 8) (dual of [45, 33, 9]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OA(1657, 4140, F16, 16) (dual of [4140, 4083, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(1658, 2070, F16, 2, 17) (dual of [(2070, 2), 4082, 18]-NRT-code) | [i] | OOA Folding | |