Information on Result #737514
Linear OA(592, 78160, F5, 16) (dual of [78160, 78068, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 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]
- linear OA(57, 35, F5, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(594, 78162, F5, 16) (dual of [78162, 78068, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(595, 78163, F5, 16) (dual of [78163, 78068, 17]-code) | [i] | ||
| 3 | Linear OA(594, 78163, F5, 16) (dual of [78163, 78069, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(595, 78165, F5, 16) (dual of [78165, 78070, 17]-code) | [i] | ||
| 5 | Linear OOA(592, 39080, F5, 2, 16) (dual of [(39080, 2), 78068, 17]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(592, 26053, F5, 3, 16) (dual of [(26053, 3), 78067, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(592, 9770, F5, 16, 16) (dual of [(9770, 16), 156228, 17]-NRT-code) | [i] | OA Folding and Stacking | |