Information on Result #688810
Linear OA(833, 75, F8, 18) (dual of [75, 42, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
- linear OA(828, 64, F8, 18) (dual of [64, 36, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(822, 64, F8, 13) (dual of [64, 42, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(85, 11, F8, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(85, 14, F8, 4) (dual of [14, 9, 5]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(85, 14, F8, 4) (dual of [14, 9, 5]-code), 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(833, 37, F8, 2, 18) (dual of [(37, 2), 41, 19]-NRT-code) | [i] | OOA Folding | |