Information on Result #684419
Linear OA(520, 31, F5, 13) (dual of [31, 11, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(517, 25, F5, 13) (dual of [25, 8, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(514, 25, F5, 9) (dual of [25, 11, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(520, 15, F5, 2, 13) (dual of [(15, 2), 10, 14]-NRT-code) | [i] | OOA Folding | |