Information on Result #681422
Linear OA(4180, 260, F4, 87) (dual of [260, 80, 88]-code), using construction X applied to Ce(86) ⊂ Ce(85) 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(4176, 256, F4, 86) (dual of [256, 80, 87]-code), using an extension Ce(85) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,85], and designed minimum distance d ≥ |I|+1 = 86 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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 OA(4187, 269, F4, 87) (dual of [269, 82, 88]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(4188, 271, F4, 87) (dual of [271, 83, 88]-code) | [i] | ||
| 3 | Linear OOA(4180, 130, F4, 2, 87) (dual of [(130, 2), 80, 88]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4180, 86, F4, 3, 87) (dual of [(86, 3), 78, 88]-NRT-code) | [i] | ||