Information on Result #706535
Linear OA(4101, 279, F4, 33) (dual of [279, 178, 34]-code), using construction XX applied to C1 = C([73,101]), C2 = C([69,97]), C3 = C1 + C2 = C([73,97]), and C∩ = C1 ∩ C2 = C([69,101]) based on
- linear OA(485, 255, F4, 29) (dual of [255, 170, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,101}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(485, 255, F4, 29) (dual of [255, 170, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,97}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(473, 255, F4, 25) (dual of [255, 182, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,97}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), using
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)) (see above)
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(4101, 139, F4, 2, 33) (dual of [(139, 2), 177, 34]-NRT-code) | [i] | OOA Folding | |