Information on Result #1422887
Linear OOA(4133, 65467, F4, 2, 20) (dual of [(65467, 2), 130801, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4133, 65467, F4, 20) (dual of [65467, 65334, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4133, 65549, F4, 20) (dual of [65549, 65416, 21]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), using
- dual of repetition code with length 7 [i]
- linear OA(47, 7, F4, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,4)), using
- linear OA(4120, 65535, F4, 20) (dual of [65535, 65415, 21]-code), using
- 1 times truncation [i] based on 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]
- 1 times truncation [i] based on linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using
- linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), using
- (u, u−v, u+v+w)-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(4133, 32733, F4, 3, 20) (dual of [(32733, 3), 98066, 21]-NRT-code) | [i] | OOA Folding | |