Information on Result #681637
Linear OA(4205, 286, F4, 93) (dual of [286, 81, 94]-code), using construction X applied to Ce(93) ⊂ Ce(84) based on
- linear OA(4192, 256, F4, 94) (dual of [256, 64, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(4175, 256, F4, 85) (dual of [256, 81, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(413, 30, F4, 7) (dual of [30, 17, 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
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(4205, 286, F4, 92) (dual of [286, 81, 93]-code) | [i] | Strength Reduction | |