Information on Result #681410
Linear OA(4207, 261, F4, 105) (dual of [261, 54, 106]-code), using construction X applied to Ce(105) ⊂ Ce(102) based on
- linear OA(4206, 256, F4, 106) (dual of [256, 50, 107]-code), using an extension Ce(105) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,105], and designed minimum distance d ≥ |I|+1 = 106 [i]
- linear OA(4202, 256, F4, 103) (dual of [256, 54, 104]-code), using an extension Ce(102) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,102], and designed minimum distance d ≥ |I|+1 = 103 [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 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 OOA(4207, 130, F4, 2, 105) (dual of [(130, 2), 53, 106]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4207, 87, F4, 3, 105) (dual of [(87, 3), 54, 106]-NRT-code) | [i] | ||