Information on Result #683033
Linear OA(585, 3144, F5, 21) (dual of [3144, 3059, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-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 OA(584, 3143, F5, 20) (dual of [3143, 3059, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(585, 1572, F5, 2, 21) (dual of [(1572, 2), 3059, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(585, 1048, F5, 3, 21) (dual of [(1048, 3), 3059, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(585, 314, F5, 21, 21) (dual of [(314, 21), 6509, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |