Information on Result #678364
Linear OA(483, 262154, F4, 13) (dual of [262154, 262071, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(473, 262144, F4, 11) (dual of [262144, 262071, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 10, F4, 1) (dual of [10, 9, 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(484, 262155, F4, 13) (dual of [262155, 262071, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(482, 262153, F4, 12) (dual of [262153, 262071, 13]-code) | [i] | Truncation | |
| 3 | Linear OOA(483, 131077, F4, 2, 13) (dual of [(131077, 2), 262071, 14]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(483, 87384, F4, 3, 13) (dual of [(87384, 3), 262069, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(483, 43692, F4, 13, 13) (dual of [(43692, 13), 567913, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |