Information on Result #900698
Linear OOA(2771, 265770, F27, 2, 16) (dual of [(265770, 2), 531469, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2710, 48, F27, 2, 8) (dual of [(48, 2), 86, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,87P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2761, 265722, F27, 2, 16) (dual of [(265722, 2), 531383, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2761, 531444, F27, 16) (dual of [531444, 531383, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 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
- discarding factors / shortening the dual code based on linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code), using
- OOA 2-folding [i] based on linear OA(2761, 531444, F27, 16) (dual of [531444, 531383, 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(2771, 66442, F27, 18, 16) (dual of [(66442, 18), 1195885, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |