Information on Result #1117278
Linear OOA(3148, 1678449, F3, 5, 12) (dual of [(1678449, 5), 8392097, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(328, 729, F3, 5, 6) (dual of [(729, 5), 3617, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(328, 2187, F3, 6) (dual of [2187, 2159, 7]-code), using
- 1 times truncation [i] based on linear OA(329, 2188, F3, 7) (dual of [2188, 2159, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(329, 2188, F3, 7) (dual of [2188, 2159, 8]-code), using
- OA 3-folding and stacking [i] based on linear OA(328, 2187, F3, 6) (dual of [2187, 2159, 7]-code), using
- linear OOA(3120, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388480, 13]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- OOA 5-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-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.