Information on Result #1015957
Linear OOA(945, 19698, F9, 3, 9) (dual of [(19698, 3), 59049, 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(940, 19682, F9, 3, 9) (dual of [(19682, 3), 59006, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(940, 59046, F9, 9) (dual of [59046, 59006, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 59048, F9, 9) (dual of [59048, 59008, 10]-code), using
- 1 times truncation [i] based on linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 1 times truncation [i] based on linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 59048, F9, 9) (dual of [59048, 59008, 10]-code), using
- OOA 3-folding [i] based on linear OA(940, 59046, F9, 9) (dual of [59046, 59006, 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.