Information on Result #1014612
Linear OOA(8111, 699078, F8, 3, 16) (dual of [(699078, 3), 2097123, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(813, 28, F8, 3, 8) (dual of [(28, 3), 71, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,75P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(898, 699050, F8, 3, 16) (dual of [(699050, 3), 2097052, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(898, 2097150, F8, 16) (dual of [2097150, 2097052, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(898, 2097152, F8, 16) (dual of [2097152, 2097054, 17]-code), using
- 1 times truncation [i] based on linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, 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(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(898, 2097152, F8, 16) (dual of [2097152, 2097054, 17]-code), using
- OOA 3-folding [i] based on linear OA(898, 2097150, F8, 16) (dual of [2097150, 2097052, 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.