Information on Result #972962
Linear OOA(591, 1043, F5, 3, 23) (dual of [(1043, 3), 3038, 24]-NRT-code), using OOA 3-folding based on linear OA(591, 3129, F5, 23) (dual of [3129, 3038, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(591, 3130, F5, 23) (dual of [3130, 3039, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(591, 3125, F5, 23) (dual of [3125, 3034, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(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(22) ⊂ Ce(21) [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(5105, 1059, F5, 3, 23) (dual of [(1059, 3), 3072, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5106, 1061, F5, 3, 23) (dual of [(1061, 3), 3077, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(5107, 1063, F5, 3, 23) (dual of [(1063, 3), 3082, 24]-NRT-code) | [i] | ||