Information on Result #688795
Linear OA(856, 76, F8, 37) (dual of [76, 20, 38]-code), using construction X applied to Ce(36) ⊂ Ce(29) 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(844, 64, F8, 30) (dual of [64, 20, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(87, 12, F8, 6) (dual of [12, 5, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [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(87, 14, F8, 6) (dual of [14, 7, 7]-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(856, 38, F8, 2, 37) (dual of [(38, 2), 20, 38]-NRT-code) | [i] | OOA Folding | |