Information on Result #682487
Linear OA(575, 78150, F5, 13) (dual of [78150, 78075, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-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(575, 61811, F5, 2, 13) (dual of [(61811, 2), 123547, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(575, 61811, F5, 3, 13) (dual of [(61811, 3), 185358, 14]-NRT-code) | [i] | ||
| 3 | Digital (62, 75, 61811)-net over F5 | [i] | ||
| 4 | Linear OOA(575, 39075, F5, 2, 13) (dual of [(39075, 2), 78075, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(575, 26050, F5, 3, 13) (dual of [(26050, 3), 78075, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(575, 13024, F5, 13, 13) (dual of [(13024, 13), 169237, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |