Information on Result #1013113
Linear OOA(5121, 5592402, F5, 3, 11) (dual of [(5592402, 3), 16777085, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(540, 4194301, F5, 3, 5) (dual of [(4194301, 3), 12582863, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- linear OOA(581, 2796201, F5, 3, 11) (dual of [(2796201, 3), 8388522, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(5121, 5592402, F5, 3, 10) (dual of [(5592402, 3), 16777085, 11]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5122, 5592402, F5, 3, 11) (dual of [(5592402, 3), 16777084, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(5123, 5592402, F5, 3, 11) (dual of [(5592402, 3), 16777083, 12]-NRT-code) | [i] | ||