Information on Result #681404
Linear OA(4255, 266, F4, 181) (dual of [266, 11, 182]-code), using construction X applied to Ce(186) ⊂ Ce(174) based on
- linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
- linear OA(4245, 256, F4, 175) (dual of [256, 11, 176]-code), using an extension Ce(174) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,174], and designed minimum distance d ≥ |I|+1 = 175 [i]
- linear OA(46, 10, F4, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), 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(4255, 266, F4, 180) (dual of [266, 11, 181]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4255, 266, F4, 179) (dual of [266, 11, 180]-code) | [i] | ||
| 3 | Linear OA(4254, 265, F4, 180) (dual of [265, 11, 181]-code) | [i] | Truncation | |
| 4 | Linear OA(4253, 264, F4, 179) (dual of [264, 11, 180]-code) | [i] | ||
| 5 | Linear OA(4252, 263, F4, 178) (dual of [263, 11, 179]-code) | [i] | ||
| 6 | Linear OA(4251, 262, F4, 177) (dual of [262, 11, 178]-code) | [i] | ||
| 7 | Linear OOA(4255, 133, F4, 2, 181) (dual of [(133, 2), 11, 182]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4255, 88, F4, 3, 181) (dual of [(88, 3), 9, 182]-NRT-code) | [i] | ||