Information on Result #672742

Linear OA(2249, 8206, F2, 39) (dual of [8206, 7957, 40]-code), using construction X applied to Ce(38) ⊂ Ce(36) based on
  1. linear OA(2248, 8192, F2, 39) (dual of [8192, 7944, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(2235, 8192, F2, 37) (dual of [8192, 7957, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(21, 14, F2, 1) (dual of [14, 13, 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(2249, 8206, F2, 38) (dual of [8206, 7957, 39]-code) [i]Strength Reduction
2Linear OA(2250, 8207, F2, 39) (dual of [8207, 7957, 40]-code) [i]Code Embedding in Larger Space
3Linear OA(2251, 8208, F2, 39) (dual of [8208, 7957, 40]-code) [i]
4Linear OA(2252, 8209, F2, 39) (dual of [8209, 7957, 40]-code) [i]
5Linear OA(2253, 8210, F2, 39) (dual of [8210, 7957, 40]-code) [i]
6Linear OA(2248, 8205, F2, 38) (dual of [8205, 7957, 39]-code) [i]Truncation
7Linear OOA(2249, 4103, F2, 2, 39) (dual of [(4103, 2), 7957, 40]-NRT-code) [i]OOA Folding
8Linear OOA(2249, 2735, F2, 3, 39) (dual of [(2735, 3), 7956, 40]-NRT-code) [i]
9Linear OOA(2249, 2051, F2, 4, 39) (dual of [(2051, 4), 7955, 40]-NRT-code) [i]
10Linear OOA(2249, 1641, F2, 5, 39) (dual of [(1641, 5), 7956, 40]-NRT-code) [i]
11Linear OOA(2249, 1367, F2, 6, 39) (dual of [(1367, 6), 7953, 40]-NRT-code) [i]
12Linear OOA(2249, 1172, F2, 7, 39) (dual of [(1172, 7), 7955, 40]-NRT-code) [i]
13Linear OOA(2249, 1025, F2, 8, 39) (dual of [(1025, 8), 7951, 40]-NRT-code) [i]