Information on Result #904487
Linear OOA(8142, 3399, F81, 2, 16) (dual of [(3399, 2), 6756, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 116, F81, 2, 8) (dual of [(116, 2), 222, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,223P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8132, 3283, F81, 2, 16) (dual of [(3283, 2), 6534, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(15) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-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(8142, 1699, F81, 4, 16) (dual of [(1699, 4), 6754, 17]-NRT-code) | [i] | OOA Folding | |