Information on Result #801623
Linear OA(4252, 1055, F4, 66) (dual of [1055, 803, 67]-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(411, 31, F4, 6) (dual of [31, 20, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(411, 34, F4, 6) (dual of [34, 23, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (5, 11, 34)-net over F4, using
- discarding factors / shortening the dual code based on linear OA(411, 34, F4, 6) (dual of [34, 23, 7]-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 OOA(4252, 527, F4, 2, 66) (dual of [(527, 2), 802, 67]-NRT-code) | [i] | OOA Folding | |