Information on Result #2701820
Linear OOA(993, large, F9, 3, 3), using 92 times duplication based on linear OOA(991, large, F9, 3, 3), using
- strength reduction [i] based on linear OOA(991, large, F9, 3, 9), using
- (u, u+v)-construction [i] based on
- linear OOA(925, 4194301, F9, 3, 4) (dual of [(4194301, 3), 12582878, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(925, 8388602, F9, 4) (dual of [8388602, 8388577, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(925, large, F9, 4) (dual of [large, large−25, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(925, large, F9, 4) (dual of [large, large−25, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(925, 8388602, F9, 4) (dual of [8388602, 8388577, 5]-code), using
- 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
- linear OOA(925, 4194301, F9, 3, 4) (dual of [(4194301, 3), 12582878, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.