Information on Result #680977
Linear OA(4255, 1059, F4, 67) (dual of [1059, 804, 68]-code), using construction XX applied to Ce(68) ⊂ Ce(58) ⊂ 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(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(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(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(4255, 529, F4, 2, 67) (dual of [(529, 2), 803, 68]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4255, 353, F4, 3, 67) (dual of [(353, 3), 804, 68]-NRT-code) | [i] | ||