Information on Result #683042
Linear OA(545, 3144, F5, 11) (dual of [3144, 3099, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(541, 3125, F5, 11) (dual of [3125, 3084, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(544, 3143, F5, 10) (dual of [3143, 3099, 11]-code) | [i] | Truncation | |
| 2 | Linear OOA(545, 1572, F5, 2, 11) (dual of [(1572, 2), 3099, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(545, 1048, F5, 3, 11) (dual of [(1048, 3), 3099, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(545, 628, F5, 11, 11) (dual of [(628, 11), 6863, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |