Information on Result #681439
Linear OA(497, 258, F4, 35) (dual of [258, 161, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
- linear OA(497, 256, F4, 35) (dual of [256, 159, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(495, 256, F4, 34) (dual of [256, 161, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 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(497, 129, F4, 2, 35) (dual of [(129, 2), 161, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(497, 86, F4, 3, 35) (dual of [(86, 3), 161, 36]-NRT-code) | [i] | ||