Information on Result #1323585
Linear OA(4238, 262228, F4, 33) (dual of [262228, 261990, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(421, 84, F4, 9) (dual of [84, 63, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 86, F4, 9) (dual of [86, 65, 10]-code), using
Mode: 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(4237, 262227, F4, 32) (dual of [262227, 261990, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(4238, 131114, F4, 2, 33) (dual of [(131114, 2), 261990, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4238, 87409, F4, 3, 33) (dual of [(87409, 3), 261989, 34]-NRT-code) | [i] | ||