Information on Result #900695
Linear OOA(2759, 9911, F27, 2, 16) (dual of [(9911, 2), 19763, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2713, 68, F27, 2, 8) (dual of [(68, 2), 123, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,127P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- linear OOA(2746, 9843, F27, 2, 16) (dual of [(9843, 2), 19640, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2746, 19686, F27, 16) (dual of [19686, 19640, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(2746, 19686, F27, 16) (dual of [19686, 19640, 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(2759, 2477, F27, 18, 16) (dual of [(2477, 18), 44527, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |