Information on Result #897556
Linear OOA(992, 29552, F9, 2, 18) (dual of [(29552, 2), 59012, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(912, 28, F9, 2, 9) (dual of [(28, 2), 44, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,46P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,46P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(980, 29524, F9, 2, 18) (dual of [(29524, 2), 58968, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(980, 59048, F9, 18) (dual of [59048, 58968, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(980, 59049, F9, 18) (dual of [59049, 58969, 19]-code), using
- 1 times truncation [i] based on linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(980, 59049, F9, 18) (dual of [59049, 58969, 19]-code), using
- OOA 2-folding [i] based on linear OA(980, 59048, F9, 18) (dual of [59048, 58968, 19]-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.