Information on Result #1535480
Linear OOA(4101, 13119, F4, 3, 18) (dual of [(13119, 3), 39256, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4101, 13119, F4, 18) (dual of [13119, 13018, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4101, 16394, F4, 18) (dual of [16394, 16293, 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(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, 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(4101, 4372, F4, 21, 18) (dual of [(4372, 21), 91711, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |