Information on Result #678363
Linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(492, 262154, F4, 14) (dual of [262154, 262062, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(493, 262155, F4, 14) (dual of [262155, 262062, 15]-code) | [i] | ||
| 3 | Linear OOA(491, 131076, F4, 2, 14) (dual of [(131076, 2), 262061, 15]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(491, 87384, F4, 3, 14) (dual of [(87384, 3), 262061, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(491, 37450, F4, 14, 14) (dual of [(37450, 14), 524209, 15]-NRT-code) | [i] | OA Folding and Stacking | |