Information on Result #681436
Linear OA(4105, 260, F4, 38) (dual of [260, 155, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) based on
- linear OA(4105, 256, F4, 38) (dual of [256, 151, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4101, 256, F4, 37) (dual of [256, 155, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 OOA(4105, 130, F4, 2, 38) (dual of [(130, 2), 155, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4105, 86, F4, 3, 38) (dual of [(86, 3), 153, 39]-NRT-code) | [i] | ||