Information on Result #737632
Linear OA(5149, 3158, F5, 35) (dual of [3158, 3009, 36]-code), using construction X applied to Ce(35) ⊂ Ce(28) based on
- linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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(58, 33, F5, 5) (dual of [33, 25, 6]-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(5150, 3159, F5, 35) (dual of [3159, 3009, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5149, 1579, F5, 2, 35) (dual of [(1579, 2), 3009, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5149, 1052, F5, 3, 35) (dual of [(1052, 3), 3007, 36]-NRT-code) | [i] | ||