Information on Result #1536799
Linear OOA(4131, 34775, F4, 3, 21) (dual of [(34775, 3), 104194, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4131, 34775, F4, 21) (dual of [34775, 34644, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4131, 65547, F4, 21) (dual of [65547, 65416, 22]-code), using
- (u, u+v)-construction [i] based on
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using
- dual of repetition code with length 11 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), 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(4131, 8693, F4, 27, 21) (dual of [(8693, 27), 234580, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |