Information on Result #680671
Linear OA(4259, 1062, F4, 69) (dual of [1062, 803, 70]-code), using construction X applied to Ce(68) ⊂ Ce(58) 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(4221, 1024, F4, 59) (dual of [1024, 803, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(418, 38, F4, 9) (dual of [38, 20, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 40, F4, 9) (dual of [40, 22, 10]-code), using
- 4 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]
- 4 times truncation [i] based on linear OA(422, 44, F4, 13) (dual of [44, 22, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 40, F4, 9) (dual of [40, 22, 10]-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(4258, 1061, F4, 68) (dual of [1061, 803, 69]-code) | [i] | Truncation | |
| 2 | Linear OOA(4259, 531, F4, 2, 69) (dual of [(531, 2), 803, 70]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4259, 354, F4, 3, 69) (dual of [(354, 3), 803, 70]-NRT-code) | [i] | ||