Information on Result #1018825
Linear OOA(8150, 2387, F81, 3, 18) (dual of [(2387, 3), 7111, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 200, F81, 3, 9) (dual of [(200, 3), 585, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,295P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8110, 100, F81, 3, 9) (dual of [(100, 3), 290, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,290P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100 (see above)
- linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8135, 2187, F81, 3, 18) (dual of [(2187, 3), 6526, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- OOA 3-folding [i] based on linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8150, 795, F81, 21, 18) (dual of [(795, 21), 16645, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |