Information on Result #672964

Linear OA(2260, 2076, F2, 47) (dual of [2076, 1816, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
  1. linear OA(2254, 2048, F2, 47) (dual of [2048, 1794, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(2232, 2048, F2, 43) (dual of [2048, 1816, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), 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(2260, 2076, F2, 46) (dual of [2076, 1816, 47]-code) [i]Strength Reduction
2Linear OA(2259, 2075, F2, 46) (dual of [2075, 1816, 47]-code) [i]Truncation
3Linear OOA(2260, 1038, F2, 2, 47) (dual of [(1038, 2), 1816, 48]-NRT-code) [i]OOA Folding
4Linear OOA(2260, 692, F2, 3, 47) (dual of [(692, 3), 1816, 48]-NRT-code) [i]
5Linear OOA(2260, 519, F2, 4, 47) (dual of [(519, 4), 1816, 48]-NRT-code) [i]
6Linear OOA(2260, 415, F2, 5, 47) (dual of [(415, 5), 1815, 48]-NRT-code) [i]
7Linear OOA(2260, 346, F2, 6, 47) (dual of [(346, 6), 1816, 48]-NRT-code) [i]
8Linear OOA(2260, 296, F2, 7, 47) (dual of [(296, 7), 1812, 48]-NRT-code) [i]
9Linear OOA(2260, 259, F2, 8, 47) (dual of [(259, 8), 1812, 48]-NRT-code) [i]