Information on Result #735180
Linear OA(8177, 6682, F81, 30) (dual of [6682, 6605, 31]-code), using (u, u+v)-construction based on
- linear OA(8117, 116, F81, 15) (dual of [116, 99, 16]-code), using
- extended algebraic-geometric code AGe(F,100P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8160, 6566, F81, 30) (dual of [6566, 6506, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
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(8177, 3341, F81, 2, 30) (dual of [(3341, 2), 6605, 31]-NRT-code) | [i] | OOA Folding | |