Information on Result #677915
Linear OA(468, 4194317, F4, 9) (dual of [4194317, 4194249, 10]-code), using construction X4 applied to Ce(8) ⊂ Ce(6) based on
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(412, 13, F4, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,4)), using
- dual of repetition code with length 13 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 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(469, 4194318, F4, 9) (dual of [4194318, 4194249, 10]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(467, 4194316, F4, 8) (dual of [4194316, 4194249, 9]-code) | [i] | Truncation | |
| 3 | Linear OOA(468, 1048579, F4, 9, 9) (dual of [(1048579, 9), 9437143, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |