Information on Result #1534724
Linear OOA(477, 657862, F4, 3, 10) (dual of [(657862, 3), 1973509, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(477, 657862, F4, 10) (dual of [657862, 657785, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(477, 1048588, F4, 10) (dual of [1048588, 1048511, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), 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(477, 328930, F4, 15, 10) (dual of [(328930, 15), 4933873, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |