Information on Result #691685
Linear OA(1690, 1048614, F16, 18) (dual of [1048614, 1048524, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
- linear OA(1681, 1048576, F16, 18) (dual of [1048576, 1048495, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1651, 1048576, F16, 11) (dual of [1048576, 1048525, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(169, 38, F16, 6) (dual of [38, 29, 7]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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 OOA(1690, 524307, F16, 2, 18) (dual of [(524307, 2), 1048524, 19]-NRT-code) | [i] | OOA Folding | |