Information on Result #681408
Linear OA(4248, 262, F4, 175) (dual of [262, 14, 176]-code), using construction X applied to Ce(174) ⊂ Ce(170) based on
- 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(4241, 256, F4, 171) (dual of [256, 15, 172]-code), using an extension Ce(170) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,170], and designed minimum distance d ≥ |I|+1 = 171 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(4247, 261, F4, 174) (dual of [261, 14, 175]-code) | [i] | Truncation | |
| 2 | Linear OOA(4248, 131, F4, 2, 175) (dual of [(131, 2), 14, 176]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4248, 87, F4, 3, 175) (dual of [(87, 3), 13, 176]-NRT-code) | [i] | ||