Information on Result #706021
Linear OA(433, 275, F4, 10) (dual of [275, 242, 11]-code), using construction XX applied to C1 = C([251,4]), C2 = C([0,5]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([251,5]) based on
- linear OA(425, 255, F4, 9) (dual of [255, 230, 10]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(417, 255, F4, 6) (dual of [255, 238, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(429, 255, F4, 10) (dual of [255, 226, 11]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,5}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(413, 255, F4, 5) (dual of [255, 242, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 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 OOA(433, 137, F4, 2, 10) (dual of [(137, 2), 241, 11]-NRT-code) | [i] | OOA Folding | |