Information on Result #680437
Linear OA(4244, 1030, F4, 67) (dual of [1030, 786, 68]-code), using construction X applied to Ce(68) ⊂ Ce(62) based on
- 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(4236, 1024, F4, 63) (dual of [1024, 788, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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 OA(4243, 1029, F4, 66) (dual of [1029, 786, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(4244, 515, F4, 2, 67) (dual of [(515, 2), 786, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4244, 343, F4, 3, 67) (dual of [(343, 3), 785, 68]-NRT-code) | [i] | ||