Information on Result #707140
Linear OA(4199, 274, F4, 94) (dual of [274, 75, 95]-code), using construction XX applied to C1 = C([251,86]), C2 = C([0,89]), C3 = C1 + C2 = C([0,86]), and C∩ = C1 ∩ C2 = C([251,89]) based on
- linear OA(4188, 255, F4, 91) (dual of [255, 67, 92]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,86}, and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(4184, 255, F4, 90) (dual of [255, 71, 91]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,89], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4192, 255, F4, 94) (dual of [255, 63, 95]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,89}, and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(4180, 255, F4, 87) (dual of [255, 75, 88]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,86], and designed minimum distance d ≥ |I|+1 = 88 [i]
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), using
- linear OA(43, 7, F4, 2) (dual of [7, 4, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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(4198, 273, F4, 93) (dual of [273, 75, 94]-code) | [i] | Truncation | |
| 2 | Linear OOA(4199, 137, F4, 2, 94) (dual of [(137, 2), 75, 95]-NRT-code) | [i] | OOA Folding | |