Information on Result #688837
Linear OA(845, 78, F8, 26) (dual of [78, 33, 27]-code), using construction X applied to Ce(26) ⊂ Ce(19) based on
- linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(831, 64, F8, 20) (dual of [64, 33, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), using
- extended algebraic-geometric code AGe(F,8P) [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 OA(846, 81, F8, 26) (dual of [81, 35, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(847, 86, F8, 26) (dual of [86, 39, 27]-code) | [i] | ||
| 3 | Linear OOA(845, 39, F8, 2, 26) (dual of [(39, 2), 33, 27]-NRT-code) | [i] | OOA Folding | |