Information on Result #681400
Linear OA(4250, 261, F4, 177) (dual of [261, 11, 178]-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(41, 5, F4, 1) (dual of [5, 4, 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(4250, 261, F4, 176) (dual of [261, 11, 177]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4249, 260, F4, 176) (dual of [260, 11, 177]-code) | [i] | Truncation | |
| 3 | Linear OOA(4250, 130, F4, 2, 177) (dual of [(130, 2), 10, 178]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4250, 87, F4, 3, 177) (dual of [(87, 3), 11, 178]-NRT-code) | [i] | ||