Information on Result #836255
Linear OOA(5141, 4194301, F5, 2, 18) (dual of [(4194301, 2), 8388461, 19]-NRT-code), using OOA 2-folding based on linear OA(5141, 8388602, F5, 18) (dual of [8388602, 8388461, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5141, large, F5, 18) (dual of [large, large−141, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
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(5143, 4194302, F5, 2, 18) (dual of [(4194302, 2), 8388461, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5145, 4194303, F5, 2, 18) (dual of [(4194303, 2), 8388461, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(5147, 4194304, F5, 2, 18) (dual of [(4194304, 2), 8388461, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(5149, 4194305, F5, 2, 18) (dual of [(4194305, 2), 8388461, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(5142, 4194301, F5, 2, 18) (dual of [(4194301, 2), 8388460, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(5150, 4194307, F5, 2, 18) (dual of [(4194307, 2), 8388464, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(5141, 4194301, F5, 3, 18) (dual of [(4194301, 3), 12582762, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (123, 141, 4194301)-net over F5 | [i] | ||