Information on Result #681423
Linear OA(4143, 260, F4, 54) (dual of [260, 117, 55]-code), using construction X applied to Ce(53) ⊂ Ce(52) based on
- linear OA(4143, 256, F4, 54) (dual of [256, 113, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4139, 256, F4, 53) (dual of [256, 117, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [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 OOA(4143, 130, F4, 2, 54) (dual of [(130, 2), 117, 55]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4143, 86, F4, 3, 54) (dual of [(86, 3), 115, 55]-NRT-code) | [i] | ||