Information on Result #1117520
Linear OOA(3173, 1684281, F3, 5, 14) (dual of [(1684281, 5), 8421232, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(337, 6561, F3, 5, 7) (dual of [(6561, 5), 32768, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(337, 19684, F3, 7) (dual of [19684, 19647, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(337, 19684, F3, 7) (dual of [19684, 19647, 8]-code), using
- linear OOA(3136, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388464, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-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.