Information on Result #897421
Linear OOA(935, 6579, F9, 2, 8) (dual of [(6579, 2), 13123, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(95, 16, F9, 2, 4) (dual of [(16, 2), 27, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(930, 6563, F9, 2, 8) (dual of [(6563, 2), 13096, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(930, 13126, F9, 8) (dual of [13126, 13096, 9]-code), using
- trace code [i] based on linear OA(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(8113, 6561, F81, 7) (dual of [6561, 6548, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- trace code [i] based on linear OA(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code), using
- OOA 2-folding [i] based on linear OA(930, 13126, F9, 8) (dual of [13126, 13096, 9]-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(935, 3289, F9, 10, 8) (dual of [(3289, 10), 32855, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |