Information on Result #1535996
Linear OOA(4114, 40489, F4, 3, 18) (dual of [(40489, 3), 121353, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4114, 40489, F4, 18) (dual of [40489, 40375, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4114, 65546, F4, 18) (dual of [65546, 65432, 19]-code), using
- (u, u+v)-construction [i] based on
- linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
- dual of repetition code with length 10 [i]
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
- (u, u+v)-construction [i] based on
Mode: 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(4114, 13496, F4, 21, 18) (dual of [(13496, 21), 283302, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |