Information on Result #2275221
Linear OA(4183, 264, F4, 87) (dual of [264, 81, 88]-code), using 2 times code embedding in larger space based on linear OA(4181, 262, F4, 87) (dual of [262, 81, 88]-code), using
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(4180, 256, F4, 87) (dual of [256, 76, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [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(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4183, 88, F4, 3, 87) (dual of [(88, 3), 81, 88]-NRT-code) | [i] | OOA Folding | |