Information on Result #680713
Linear OA(4260, 1065, F4, 69) (dual of [1065, 805, 70]-code), using construction X applied to Ce(68) ⊂ Ce(57) 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(4216, 1024, F4, 58) (dual of [1024, 808, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(419, 41, F4, 10) (dual of [41, 22, 11]-code), using
- 3 times truncation [i] based on linear OA(422, 44, F4, 13) (dual of [44, 22, 14]-code), using
- extended quadratic residue code Qe(44,4) [i]
- 3 times truncation [i] based on linear OA(422, 44, F4, 13) (dual of [44, 22, 14]-code), 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(4259, 1064, F4, 68) (dual of [1064, 805, 69]-code) | [i] | Truncation | |
| 2 | Linear OA(4258, 1063, F4, 67) (dual of [1063, 805, 68]-code) | [i] | ||
| 3 | Linear OOA(4260, 532, F4, 2, 69) (dual of [(532, 2), 804, 70]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4260, 355, F4, 3, 69) (dual of [(355, 3), 805, 70]-NRT-code) | [i] | ||