Information on Result #1015983
Linear OOA(990, 7983900, F9, 3, 9) (dual of [(7983900, 3), 23951610, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(924, 2391498, F9, 3, 4) (dual of [(2391498, 3), 7174470, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(92, 10, F9, 3, 2) (dual of [(10, 3), 28, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;28,9) [i]
- linear OOA(922, 2391488, F9, 3, 4) (dual of [(2391488, 3), 7174442, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(922, 4782976, F9, 4) (dual of [4782976, 4782954, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(922, 4782969, F9, 4) (dual of [4782969, 4782947, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(915, 4782969, F9, 3) (dual of [4782969, 4782954, 4]-code or 4782969-cap in PG(14,9)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 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(3) ⊂ Ce(2) [i] based on
- OA 2-folding and stacking [i] based on linear OA(922, 4782976, F9, 4) (dual of [4782976, 4782954, 5]-code), using
- linear OOA(92, 10, F9, 3, 2) (dual of [(10, 3), 28, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(966, 5592402, F9, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.