Information on Result #681777
Linear OA(4116, 290, F4, 37) (dual of [290, 174, 38]-code), using construction XX applied to Ce(36) ⊂ Ce(28) ⊂ Ce(26) based on
- linear OA(4101, 256, F4, 37) (dual of [256, 155, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(483, 256, F4, 29) (dual of [256, 173, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(479, 256, F4, 27) (dual of [256, 177, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(413, 32, F4, 7) (dual of [32, 19, 8]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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(4116, 145, F4, 2, 37) (dual of [(145, 2), 174, 38]-NRT-code) | [i] | OOA Folding | |