Information on Result #692716
Linear OA(1664, 260, F16, 36) (dual of [260, 196, 37]-code), using construction X applied to Ce(35) ⊂ Ce(33) based on
- linear OA(1663, 256, F16, 36) (dual of [256, 193, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1660, 256, F16, 34) (dual of [256, 196, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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 OA(1663, 259, F16, 35) (dual of [259, 196, 36]-code) | [i] | Truncation | |
| 2 | Linear OA(4128, 520, F4, 36) (dual of [520, 392, 37]-code) | [i] | Trace Code | |
| 3 | Linear OOA(1664, 130, F16, 2, 36) (dual of [(130, 2), 196, 37]-NRT-code) | [i] | OOA Folding | |