Information on Result #682963
Linear OA(5106, 3130, F5, 27) (dual of [3130, 3024, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(5106, 3125, F5, 27) (dual of [3125, 3019, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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 OA(5107, 3131, F5, 27) (dual of [3131, 3024, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5111, 3150, F5, 27) (dual of [3150, 3039, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(5112, 3170, F5, 27) (dual of [3170, 3058, 28]-code) | [i] | ||
| 4 | Linear OA(5113, 3209, F5, 27) (dual of [3209, 3096, 28]-code) | [i] | ||
| 5 | Linear OA(5114, 3277, F5, 27) (dual of [3277, 3163, 28]-code) | [i] | ||
| 6 | Linear OA(5115, 3383, F5, 27) (dual of [3383, 3268, 28]-code) | [i] | ||
| 7 | Linear OA(5116, 3532, F5, 27) (dual of [3532, 3416, 28]-code) | [i] | ||
| 8 | Linear OA(5117, 3722, F5, 27) (dual of [3722, 3605, 28]-code) | [i] | ||
| 9 | Linear OA(5118, 3943, F5, 27) (dual of [3943, 3825, 28]-code) | [i] | ||
| 10 | Linear OA(5119, 4188, F5, 27) (dual of [4188, 4069, 28]-code) | [i] | ||
| 11 | Linear OA(5120, 4452, F5, 27) (dual of [4452, 4332, 28]-code) | [i] | ||
| 12 | Linear OOA(5106, 1565, F5, 2, 27) (dual of [(1565, 2), 3024, 28]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(5106, 1043, F5, 3, 27) (dual of [(1043, 3), 3023, 28]-NRT-code) | [i] | ||