Information on Result #706582
Linear OA(499, 269, F4, 34) (dual of [269, 170, 35]-code), using construction XX applied to C1 = C([69,101]), C2 = C([68,97]), C3 = C1 + C2 = C([69,97]), and C∩ = C1 ∩ C2 = C([68,101]) based on
- 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(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,97}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,101}, and designed minimum distance d ≥ |I|+1 = 35 [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(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), using
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(498, 268, F4, 33) (dual of [268, 170, 34]-code) | [i] | Truncation | |