Information on Result #688872
Linear OA(837, 81, F8, 19) (dual of [81, 44, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- linear OA(829, 64, F8, 19) (dual of [64, 35, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(820, 64, F8, 12) (dual of [64, 44, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(88, 17, F8, 6) (dual of [17, 9, 7]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(837, 40, F8, 2, 19) (dual of [(40, 2), 43, 20]-NRT-code) | [i] | OOA Folding | |