Information on Result #679612
Linear OA(425, 4102, F4, 6) (dual of [4102, 4077, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(425, 4096, F4, 6) (dual of [4096, 4071, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(419, 4096, F4, 5) (dual of [4096, 4077, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 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(427, 4106, F4, 6) (dual of [4106, 4079, 7]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(425, 2051, F4, 2, 6) (dual of [(2051, 2), 4077, 7]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(425, 1367, F4, 3, 6) (dual of [(1367, 3), 4076, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(425, 1367, F4, 6, 6) (dual of [(1367, 6), 8177, 7]-NRT-code) | [i] | OA Folding and Stacking | |