Information on Result #682497
Linear OA(5117, 78151, F5, 20) (dual of [78151, 78034, 21]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
- linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(5117, 60319, F5, 2, 20) (dual of [(60319, 2), 120521, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5117, 60319, F5, 3, 20) (dual of [(60319, 3), 180840, 21]-NRT-code) | [i] | ||
| 3 | Digital (97, 117, 60319)-net over F5 | [i] | ||
| 4 | Linear OOA(5117, 39075, F5, 2, 20) (dual of [(39075, 2), 78033, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5117, 26050, F5, 3, 20) (dual of [(26050, 3), 78033, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(5117, 7815, F5, 20, 20) (dual of [(7815, 20), 156183, 21]-NRT-code) | [i] | OA Folding and Stacking | |