Information on Result #1016030
Linear OOA(951, 19694, F9, 3, 11) (dual of [(19694, 3), 59031, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(95, 10, F9, 3, 5) (dual of [(10, 3), 25, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;25,9) [i]
- linear OOA(946, 19684, F9, 3, 11) (dual of [(19684, 3), 59006, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(946, 59052, F9, 11) (dual of [59052, 59006, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(946, 59054, F9, 11) (dual of [59054, 59008, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 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]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(946, 59054, F9, 11) (dual of [59054, 59008, 12]-code), using
- OOA 3-folding [i] based on linear OA(946, 59052, F9, 11) (dual of [59052, 59006, 12]-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.