Information on Result #672831

Linear OA(2230, 4109, F2, 39) (dual of [4109, 3879, 40]-code), using construction X applied to Ce(38) ⊂ Ce(36) based on
  1. linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(2217, 4096, F2, 37) (dual of [4096, 3879, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(21, 13, F2, 1) (dual of [13, 12, 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(2230, 4109, F2, 38) (dual of [4109, 3879, 39]-code) [i]Strength Reduction
2Linear OA(2231, 4110, F2, 39) (dual of [4110, 3879, 40]-code) [i]Code Embedding in Larger Space
3Linear OA(2232, 4111, F2, 39) (dual of [4111, 3879, 40]-code) [i]
4Linear OA(2233, 4112, F2, 39) (dual of [4112, 3879, 40]-code) [i]
5Linear OA(2234, 4113, F2, 39) (dual of [4113, 3879, 40]-code) [i]
6Linear OA(2229, 4108, F2, 38) (dual of [4108, 3879, 39]-code) [i]Truncation
7Linear OOA(2230, 2054, F2, 2, 39) (dual of [(2054, 2), 3878, 40]-NRT-code) [i]OOA Folding
8Linear OOA(2230, 1369, F2, 3, 39) (dual of [(1369, 3), 3877, 40]-NRT-code) [i]
9Linear OOA(2230, 1027, F2, 4, 39) (dual of [(1027, 4), 3878, 40]-NRT-code) [i]
10Linear OOA(2230, 821, F2, 5, 39) (dual of [(821, 5), 3875, 40]-NRT-code) [i]
11Linear OOA(2230, 684, F2, 6, 39) (dual of [(684, 6), 3874, 40]-NRT-code) [i]
12Linear OOA(2230, 587, F2, 7, 39) (dual of [(587, 7), 3879, 40]-NRT-code) [i]
13Linear OOA(2230, 513, F2, 8, 39) (dual of [(513, 8), 3874, 40]-NRT-code) [i]