Information on Result #681483
Linear OA(4145, 268, F4, 53) (dual of [268, 123, 54]-code), using construction X applied to Ce(52) ⊂ Ce(46) based on
- linear OA(4139, 256, F4, 53) (dual of [256, 117, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4133, 256, F4, 47) (dual of [256, 123, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
Mode: Constructive and 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 OA(4146, 269, F4, 53) (dual of [269, 123, 54]-code) | [i] | Code Embedding in Larger Space | |
2 | Linear OOA(4145, 134, F4, 2, 53) (dual of [(134, 2), 123, 54]-NRT-code) | [i] | OOA Folding | |
3 | Linear OOA(4145, 89, F4, 3, 53) (dual of [(89, 3), 122, 54]-NRT-code) | [i] |