Information on Result #706368
Linear OA(493, 290, F4, 29) (dual of [290, 197, 30]-code), using construction XX applied to C1 = C([251,20]), C2 = C([1,24]), C3 = C1 + C2 = C([1,20]), and C∩ = C1 ∩ C2 = C([251,24]) based on
- linear OA(471, 255, F4, 25) (dual of [255, 184, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(470, 255, F4, 24) (dual of [255, 185, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,24}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(458, 255, F4, 20) (dual of [255, 197, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(46, 19, F4, 4) (dual of [19, 13, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(494, 291, F4, 29) (dual of [291, 197, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(495, 292, F4, 29) (dual of [292, 197, 30]-code) | [i] | ||
| 3 | Linear OA(492, 289, F4, 28) (dual of [289, 197, 29]-code) | [i] | Truncation | |
| 4 | Linear OOA(493, 145, F4, 2, 29) (dual of [(145, 2), 197, 30]-NRT-code) | [i] | OOA Folding | |