Information on Result #680563
Linear OA(4260, 1041, F4, 73) (dual of [1041, 781, 74]-code), using construction X applied to Ce(72) ⊂ Ce(68) based on
- linear OA(4256, 1024, F4, 73) (dual of [1024, 768, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
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 OOA(4260, 520, F4, 2, 73) (dual of [(520, 2), 780, 74]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4260, 347, F4, 3, 73) (dual of [(347, 3), 781, 74]-NRT-code) | [i] | ||