Information on Result #681785
Linear OA(4100, 270, F4, 34) (dual of [270, 170, 35]-code), using construction XX applied to Ce(33) ⊂ Ce(29) ⊂ Ce(28) based on
- linear OA(495, 256, F4, 34) (dual of [256, 161, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(487, 256, F4, 30) (dual of [256, 169, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(483, 256, F4, 29) (dual of [256, 173, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(44, 13, F4, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,4)), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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 OOA(4100, 135, F4, 2, 34) (dual of [(135, 2), 170, 35]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4100, 90, F4, 3, 34) (dual of [(90, 3), 170, 35]-NRT-code) | [i] | ||