Information on Result #973309
Linear OOA(5111, 1043, F5, 3, 28) (dual of [(1043, 3), 3018, 29]-NRT-code), using OOA 3-folding based on linear OA(5111, 3129, F5, 28) (dual of [3129, 3018, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, 3130, F5, 28) (dual of [3130, 3019, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] 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
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
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(5129, 1061, F5, 3, 28) (dual of [(1061, 3), 3054, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5130, 1063, F5, 3, 28) (dual of [(1063, 3), 3059, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(5131, 1064, F5, 3, 28) (dual of [(1064, 3), 3061, 29]-NRT-code) | [i] | ||