Information on Result #737513
Linear OA(591, 78155, F5, 16) (dual of [78155, 78064, 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(56, 30, F5, 4) (dual of [30, 24, 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 OOA(591, 47064, F5, 2, 16) (dual of [(47064, 2), 94037, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(591, 47064, F5, 3, 16) (dual of [(47064, 3), 141101, 17]-NRT-code) | [i] | ||
| 3 | Digital (75, 91, 47064)-net over F5 | [i] | ||
| 4 | Linear OOA(591, 39077, F5, 2, 16) (dual of [(39077, 2), 78063, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(591, 26051, F5, 3, 16) (dual of [(26051, 3), 78062, 17]-NRT-code) | [i] | ||