Information on Result #896567
Linear OOA(882, 16409, F8, 2, 16) (dual of [(16409, 2), 32736, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(812, 25, F8, 2, 8) (dual of [(25, 2), 38, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,41P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(870, 16384, F8, 2, 16) (dual of [(16384, 2), 32698, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(870, 32768, F8, 16) (dual of [32768, 32698, 17]-code), using
- 1 times truncation [i] based on linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using
- OOA 2-folding [i] based on linear OA(870, 32768, F8, 16) (dual of [32768, 32698, 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(882, 4102, F8, 18, 16) (dual of [(4102, 18), 73754, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |