Information on Result #705955
Linear OA(495, 257, F4, 34) (dual of [257, 162, 35]-code), using construction X applied to C([68,101]) ⊂ C([69,101]) based on
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,101}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, 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 OA(494, 256, F4, 33) (dual of [256, 162, 34]-code) | [i] | Truncation | |
2 | Linear OA(496, 265, F4, 34) (dual of [265, 169, 35]-code) | [i] | Varšamov–Edel Lengthening |