Information on Result #681707
Linear OA(4144, 264, F4, 53) (dual of [264, 120, 54]-code), using construction XX applied to Ce(52) ⊂ Ce(50) ⊂ 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(4137, 256, F4, 51) (dual of [256, 119, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
- linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), using
- dual of repetition code with length 4 [i]
- Reed–Solomon code RS(1,4) [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(4143, 263, F4, 52) (dual of [263, 120, 53]-code) | [i] | Truncation | |
| 2 | Linear OOA(4144, 132, F4, 2, 53) (dual of [(132, 2), 120, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4144, 88, F4, 3, 53) (dual of [(88, 3), 120, 54]-NRT-code) | [i] | ||