Information on Result #683017
Linear OA(517, 3136, F5, 4) (dual of [3136, 3119, 5]-code), using construction X applied to Ce(3) ⊂ Ce(1) based on
- linear OA(516, 3125, F5, 4) (dual of [3125, 3109, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(56, 3125, F5, 2) (dual of [3125, 3119, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(517, 1568, F5, 2, 4) (dual of [(1568, 2), 3119, 5]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(517, 1568, F5, 3, 4) (dual of [(1568, 3), 4687, 5]-NRT-code) | [i] | OA Folding and Stacking | |