Information on Result #681470
Linear OA(4210, 266, F4, 106) (dual of [266, 56, 107]-code), using construction X applied to Ce(105) ⊂ Ce(101) based on
- linear OA(4206, 256, F4, 106) (dual of [256, 50, 107]-code), using an extension Ce(105) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,105], and designed minimum distance d ≥ |I|+1 = 106 [i]
- linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using an extension Ce(101) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(44, 10, F4, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,4)), 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(4210, 266, F4, 105) (dual of [266, 56, 106]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4211, 267, F4, 106) (dual of [267, 56, 107]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4209, 265, F4, 105) (dual of [265, 56, 106]-code) | [i] | Truncation | |
| 4 | Linear OOA(4210, 133, F4, 2, 106) (dual of [(133, 2), 56, 107]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4210, 88, F4, 3, 106) (dual of [(88, 3), 54, 107]-NRT-code) | [i] | ||