Information on Result #678351
Linear OA(4172, 262153, F4, 26) (dual of [262153, 261981, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(4173, 262154, F4, 26) (dual of [262154, 261981, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4174, 262155, F4, 26) (dual of [262155, 261981, 27]-code) | [i] | ||
| 3 | Linear OOA(4172, 131076, F4, 2, 26) (dual of [(131076, 2), 261980, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4172, 87384, F4, 3, 26) (dual of [(87384, 3), 261980, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(4172, 20165, F4, 26, 26) (dual of [(20165, 26), 524118, 27]-NRT-code) | [i] | OA Folding and Stacking | |