Information on Result #1603476
Linear OOA(3119, 9861, F3, 4, 19) (dual of [(9861, 4), 39325, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3119, 9861, F3, 2, 19) (dual of [(9861, 2), 19603, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3119, 19722, F3, 19) (dual of [19722, 19603, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3119, 19723, F3, 19) (dual of [19723, 19604, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3119, 19723, F3, 19) (dual of [19723, 19604, 20]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.