Information on Result #692980
Linear OA(16129, 294, F16, 68) (dual of [294, 165, 69]-code), using construction X applied to Ce(67) ⊂ Ce(52) based on
- linear OA(16112, 256, F16, 68) (dual of [256, 144, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(1690, 256, F16, 53) (dual of [256, 166, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(1617, 38, F16, 14) (dual of [38, 21, 15]-code), using
- extended algebraic-geometric code AGe(F,23P) [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(16129, 147, F16, 2, 68) (dual of [(147, 2), 165, 69]-NRT-code) | [i] | OOA Folding | |