Information on Result #1100703
Linear OOA(3144, 2796257, F3, 5, 10) (dual of [(2796257, 5), 13981141, 11]-NRT-code), using OOA 2-folding based on linear OOA(3144, 5592514, F3, 3, 10) (dual of [(5592514, 3), 16777398, 11]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(37, 112, F3, 3, 3) (dual of [(112, 3), 329, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(37, 112, F3, 2, 3) (dual of [(112, 2), 217, 4]-NRT-code), using
- linear OOA(346, 2796201, F3, 3, 5) (dual of [(2796201, 3), 8388557, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(346, 4194301, F3, 3, 5) (dual of [(4194301, 3), 12582857, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- discarding factors / shortening the dual code based on linear OOA(346, 4194301, F3, 3, 5) (dual of [(4194301, 3), 12582857, 6]-NRT-code), using
- linear OOA(391, 2796201, F3, 3, 10) (dual of [(2796201, 3), 8388512, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- linear OOA(37, 112, F3, 3, 3) (dual of [(112, 3), 329, 4]-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.