Information on Result #1015961
Linear OOA(955, 354312, F9, 3, 9) (dual of [(354312, 3), 1062881, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(95, 16, F9, 3, 4) (dual of [(16, 3), 43, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(950, 354296, F9, 3, 9) (dual of [(354296, 3), 1062838, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(950, 1062888, F9, 9) (dual of [1062888, 1062838, 10]-code), using
- trace code [i] based on linear OA(8125, 531444, F81, 9) (dual of [531444, 531419, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(8125, 531441, F81, 9) (dual of [531441, 531416, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- trace code [i] based on linear OA(8125, 531444, F81, 9) (dual of [531444, 531419, 10]-code), using
- OOA 3-folding [i] based on linear OA(950, 1062888, F9, 9) (dual of [1062888, 1062838, 10]-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.