Information on Result #737532

Linear OA(5101, 78169, F5, 17) (dual of [78169, 78068, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
  1. linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-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(5103, 78171, F5, 17) (dual of [78171, 78068, 18]-code) [i]Code Embedding in Larger Space
2Linear OA(5104, 78172, F5, 17) (dual of [78172, 78068, 18]-code) [i]
3Linear OA(5102, 78171, F5, 17) (dual of [78171, 78069, 18]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OA(5103, 78173, F5, 17) (dual of [78173, 78070, 18]-code) [i]
5Linear OA(5104, 78175, F5, 17) (dual of [78175, 78071, 18]-code) [i]
6Linear OOA(5101, 39084, F5, 2, 17) (dual of [(39084, 2), 78067, 18]-NRT-code) [i]OOA Folding
7Linear OOA(5101, 26056, F5, 3, 17) (dual of [(26056, 3), 78067, 18]-NRT-code) [i]
8Linear OOA(5101, 9771, F5, 17, 17) (dual of [(9771, 17), 166006, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row