Information on Result #691646
Linear OA(1691, 1048600, F16, 19) (dual of [1048600, 1048509, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(165, 24, F16, 4) (dual of [24, 19, 5]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(1691, 524300, F16, 2, 19) (dual of [(524300, 2), 1048509, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1691, 116511, F16, 19, 19) (dual of [(116511, 19), 2213618, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |