Information on Result #682962
Linear OA(5111, 3130, F5, 28) (dual of [3130, 3019, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(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(5116, 3160, F5, 28) (dual of [3160, 3044, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(5117, 3193, F5, 28) (dual of [3193, 3076, 29]-code) | [i] | ||
| 3 | Linear OA(5118, 3258, F5, 28) (dual of [3258, 3140, 29]-code) | [i] | ||
| 4 | Linear OA(5119, 3369, F5, 28) (dual of [3369, 3250, 29]-code) | [i] | ||
| 5 | Linear OA(5120, 3529, F5, 28) (dual of [3529, 3409, 29]-code) | [i] | ||
| 6 | Linear OA(5121, 3726, F5, 28) (dual of [3726, 3605, 29]-code) | [i] | ||
| 7 | Linear OA(5122, 3948, F5, 28) (dual of [3948, 3826, 29]-code) | [i] | ||
| 8 | Linear OA(5123, 4188, F5, 28) (dual of [4188, 4065, 29]-code) | [i] | ||
| 9 | Linear OOA(5111, 1565, F5, 2, 28) (dual of [(1565, 2), 3019, 29]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(5111, 1043, F5, 3, 28) (dual of [(1043, 3), 3018, 29]-NRT-code) | [i] | ||