Information on Result #675782

Linear OA(3100, 2203, F3, 21) (dual of [2203, 2103, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,9]) based on
  1. linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(385, 2188, F3, 19) (dual of [2188, 2103, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-code), using

Mode: Constructive and 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3101, 2204, F3, 21) (dual of [2204, 2103, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(3102, 2205, F3, 21) (dual of [2205, 2103, 22]-code) [i]
3Linear OOA(3100, 1197, F3, 2, 21) (dual of [(1197, 2), 2294, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(3100, 1197, F3, 3, 21) (dual of [(1197, 3), 3491, 22]-NRT-code) [i]
5Linear OOA(3100, 1197, F3, 4, 21) (dual of [(1197, 4), 4688, 22]-NRT-code) [i]
6Linear OOA(3100, 1197, F3, 5, 21) (dual of [(1197, 5), 5885, 22]-NRT-code) [i]
7Digital (79, 100, 1197)-net over F3 [i]
8Linear OA(3108, 2226, F3, 21) (dual of [2226, 2118, 22]-code) [i]VarÅ¡amov–Edel Lengthening
9Linear OA(3109, 2235, F3, 21) (dual of [2235, 2126, 22]-code) [i]
10Linear OOA(3100, 1101, F3, 2, 21) (dual of [(1101, 2), 2102, 22]-NRT-code) [i]OOA Folding
11Linear OOA(3100, 734, F3, 3, 21) (dual of [(734, 3), 2102, 22]-NRT-code) [i]
12Linear OOA(3100, 550, F3, 4, 21) (dual of [(550, 4), 2100, 22]-NRT-code) [i]
13Linear OOA(3100, 440, F3, 5, 21) (dual of [(440, 5), 2100, 22]-NRT-code) [i]