Information on Result #681428
Linear OA(4129, 260, F4, 46) (dual of [260, 131, 47]-code), using construction X applied to Ce(45) ⊂ Ce(44) based on
- linear OA(4129, 256, F4, 46) (dual of [256, 127, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(4129, 130, F4, 2, 46) (dual of [(130, 2), 131, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4129, 86, F4, 3, 46) (dual of [(86, 3), 129, 47]-NRT-code) | [i] | ||