Information on Result #1014606
Linear OOA(881, 10946, F8, 3, 16) (dual of [(10946, 3), 32757, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(811, 24, F8, 3, 8) (dual of [(24, 3), 61, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,63P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,63P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(870, 10922, F8, 3, 16) (dual of [(10922, 3), 32696, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(870, 32766, F8, 16) (dual of [32766, 32696, 17]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(870, 32768, F8, 16) (dual of [32768, 32698, 17]-code), using
- OOA 3-folding [i] based on linear OA(870, 32766, F8, 16) (dual of [32766, 32696, 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
None.