Information on Result #691728
Linear OA(16117, 1048641, F16, 22) (dual of [1048641, 1048524, 23]-code), using construction X applied to Ce(21) ⊂ Ce(10) based on
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(1616, 65, F16, 10) (dual of [65, 49, 11]-code), using
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(16117, 524320, F16, 2, 22) (dual of [(524320, 2), 1048523, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(16117, 95331, F16, 22, 22) (dual of [(95331, 22), 2097165, 23]-NRT-code) | [i] | OA Folding and Stacking | |