Information on Result #737672
Linear OA(5127, 3166, F5, 29) (dual of [3166, 3039, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(5116, 3125, F5, 29) (dual of [3125, 3009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(511, 41, F5, 6) (dual of [41, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), 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(5129, 3168, F5, 29) (dual of [3168, 3039, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5127, 1583, F5, 2, 29) (dual of [(1583, 2), 3039, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5127, 1055, F5, 3, 29) (dual of [(1055, 3), 3038, 30]-NRT-code) | [i] | ||