Information on Result #677965
Linear OA(4259, 4194342, F4, 31) (dual of [4194342, 4194083, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- linear OA(4254, 4194304, F4, 31) (dual of [4194304, 4194050, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4221, 4194304, F4, 27) (dual of [4194304, 4194083, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(45, 38, F4, 3) (dual of [38, 33, 4]-code or 38-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4260, 4194343, F4, 31) (dual of [4194343, 4194083, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4259, 2097171, F4, 2, 31) (dual of [(2097171, 2), 4194083, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4259, 1398114, F4, 3, 31) (dual of [(1398114, 3), 4194083, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(4259, 279622, F4, 31, 31) (dual of [(279622, 31), 8668023, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |