Information on Result #1117417
Linear OOA(3165, 1736769, F3, 5, 13) (dual of [(1736769, 5), 8683680, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(344, 59049, F3, 5, 6) (dual of [(59049, 5), 295201, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(344, 177147, F3, 6) (dual of [177147, 177103, 7]-code), using
- 1 times truncation [i] based on linear OA(345, 177148, F3, 7) (dual of [177148, 177103, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, 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(345, 177148, F3, 7) (dual of [177148, 177103, 8]-code), using
- OA 3-folding and stacking [i] based on linear OA(344, 177147, F3, 6) (dual of [177147, 177103, 7]-code), using
- linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-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.