Information on Result #680501
Linear OA(4252, 1035, F4, 71) (dual of [1035, 783, 72]-code), using construction X applied to Ce(70) ⊂ Ce(68) based on
- linear OA(4251, 1024, F4, 71) (dual of [1024, 773, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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 OA(4253, 1036, F4, 71) (dual of [1036, 783, 72]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4254, 1037, F4, 71) (dual of [1037, 783, 72]-code) | [i] | ||
| 3 | Linear OA(4255, 1038, F4, 71) (dual of [1038, 783, 72]-code) | [i] | ||
| 4 | Linear OA(4256, 1039, F4, 71) (dual of [1039, 783, 72]-code) | [i] | ||
| 5 | Linear OA(4251, 1034, F4, 70) (dual of [1034, 783, 71]-code) | [i] | Truncation | |
| 6 | Linear OOA(4252, 517, F4, 2, 71) (dual of [(517, 2), 782, 72]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4252, 345, F4, 3, 71) (dual of [(345, 3), 783, 72]-NRT-code) | [i] | ||