Information on Result #677897
Linear OA(4200, 4194316, F4, 25) (dual of [4194316, 4194116, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4188, 4194304, F4, 23) (dual of [4194304, 4194116, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(41, 12, F4, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4201, 4194317, F4, 25) (dual of [4194317, 4194116, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4199, 4194315, F4, 24) (dual of [4194315, 4194116, 25]-code) | [i] | Truncation | |
| 3 | Linear OOA(4200, 2097158, F4, 2, 25) (dual of [(2097158, 2), 4194116, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4200, 1398105, F4, 3, 25) (dual of [(1398105, 3), 4194115, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(4200, 349526, F4, 25, 25) (dual of [(349526, 25), 8737950, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |