Information on Result #681447
Linear OA(475, 260, F4, 26) (dual of [260, 185, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(475, 256, F4, 26) (dual of [256, 181, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(471, 256, F4, 25) (dual of [256, 185, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(478, 273, F4, 26) (dual of [273, 195, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(479, 285, F4, 26) (dual of [285, 206, 27]-code) | [i] | ||
| 3 | Linear OOA(475, 130, F4, 2, 26) (dual of [(130, 2), 185, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(475, 86, F4, 3, 26) (dual of [(86, 3), 183, 27]-NRT-code) | [i] | ||