Information on Result #737533
Linear OA(596, 78170, F5, 16) (dual of [78170, 78074, 17]-code), using construction X applied to Ce(15) ⊂ Ce(8) 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(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-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(596, 78170, F5, 2, 16) (dual of [(78170, 2), 156244, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(596, 78170, F5, 3, 16) (dual of [(78170, 3), 234414, 17]-NRT-code) | [i] | ||
| 3 | Digital (80, 96, 78170)-net over F5 | [i] | ||
| 4 | Linear OOA(596, 39085, F5, 2, 16) (dual of [(39085, 2), 78074, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(596, 26056, F5, 3, 16) (dual of [(26056, 3), 78072, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(596, 9771, F5, 16, 16) (dual of [(9771, 16), 156240, 17]-NRT-code) | [i] | OA Folding and Stacking | |