Information on Result #1466386
Linear OOA(3204, 4194350, F3, 2, 19) (dual of [(4194350, 2), 8388496, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(323, 49, F3, 2, 9) (dual of [(49, 2), 75, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(323, 49, F3, 9) (dual of [49, 26, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 53, F3, 9) (dual of [53, 30, 10]-code), using
- 7 times truncation [i] based on linear OA(330, 60, F3, 16) (dual of [60, 30, 17]-code), using
- strength reduction [i] based on linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), using
- extended quadratic residue code Qe(60,3) [i]
- strength reduction [i] based on linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), using
- 7 times truncation [i] based on linear OA(330, 60, F3, 16) (dual of [60, 30, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 53, F3, 9) (dual of [53, 30, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(323, 49, F3, 9) (dual of [49, 26, 10]-code), using
- linear OOA(3181, 4194301, F3, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
Mode: 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.