Information on Result #839997
Linear OOA(5125, 66, F5, 2, 98) (dual of [(66, 2), 7, 99]-NRT-code), using OOA 2-folding based on linear OA(5125, 132, F5, 98) (dual of [132, 7, 99]-code), using
- 1 times truncation [i] based on linear OA(5126, 133, F5, 99) (dual of [133, 7, 100]-code), using
- construction X applied to Ce(98) ⊂ Ce(93) [i] based on
- linear OA(5121, 125, F5, 99) (dual of [125, 4, 100]-code), using an extension Ce(98) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,98], and designed minimum distance d ≥ |I|+1 = 99 [i]
- linear OA(5118, 125, F5, 94) (dual of [125, 7, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(55, 8, F5, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using
- construction X applied to Ce(98) ⊂ Ce(93) [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(5125, 66, F5, 2, 97) (dual of [(66, 2), 7, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5125, 66, F5, 2, 96) (dual of [(66, 2), 7, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(5125, 66, F5, 2, 95) (dual of [(66, 2), 7, 96]-NRT-code) | [i] | ||