Information on Result #681418
Linear OA(4188, 260, F4, 91) (dual of [260, 72, 92]-code), using construction X applied to Ce(90) ⊂ Ce(89) based on
- linear OA(4188, 256, F4, 91) (dual of [256, 68, 92]-code), using an extension Ce(90) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4184, 256, F4, 90) (dual of [256, 72, 91]-code), using an extension Ce(89) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [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(4189, 261, F4, 91) (dual of [261, 72, 92]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4188, 130, F4, 2, 91) (dual of [(130, 2), 72, 92]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4188, 86, F4, 3, 91) (dual of [(86, 3), 70, 92]-NRT-code) | [i] | ||