Information on Result #1082343
Linear OOA(8122, 1740, F81, 4, 9) (dual of [(1740, 4), 6938, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(815, 100, F81, 4, 4) (dual of [(100, 4), 395, 5]-NRT-code), using
- appending kth column [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
- appending kth column [i] based on linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- linear OOA(8117, 1640, F81, 4, 9) (dual of [(1640, 4), 6543, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8117, 6560, F81, 9) (dual of [6560, 6543, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(8117, 6561, F81, 9) (dual of [6561, 6544, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(8117, 6561, F81, 9) (dual of [6561, 6544, 10]-code), using
- OOA 4-folding [i] based on linear OA(8117, 6560, F81, 9) (dual of [6560, 6543, 10]-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(8122, 1739, F81, 12, 9) (dual of [(1739, 12), 20846, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |