Information on Result #688827
Linear OA(857, 78, F8, 37) (dual of [78, 21, 38]-code), using construction X applied to Ce(36) ⊂ Ce(28) based on
- linear OA(849, 64, F8, 37) (dual of [64, 15, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(842, 64, F8, 29) (dual of [64, 22, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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(857, 39, F8, 2, 37) (dual of [(39, 2), 21, 38]-NRT-code) | [i] | OOA Folding | |