Information on Result #680945
Linear OA(4254, 1110, F4, 59) (dual of [1110, 856, 60]-code), using construction X applied to Ce(58) ⊂ Ce(44) based on
- 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(4166, 1024, F4, 45) (dual of [1024, 858, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(433, 86, F4, 13) (dual of [86, 53, 14]-code), using
- an extension Ce(12) of the narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
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(4254, 555, F4, 2, 59) (dual of [(555, 2), 856, 60]-NRT-code) | [i] | OOA Folding | |