Information on Result #2242943
Linear OA(4201, 282, F4, 92) (dual of [282, 81, 93]-code), using 1 times truncation based on linear OA(4202, 283, F4, 93) (dual of [283, 81, 94]-code), using
- construction XX applied to C1 = C([251,84]), C2 = C([1,89]), C3 = C1 + C2 = C([1,84]), and C∩ = C1 ∩ C2 = C([251,89]) [i] based on
- linear OA(4183, 255, F4, 89) (dual of [255, 72, 90]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,84}, and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(4183, 255, F4, 89) (dual of [255, 72, 90]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [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(4174, 255, F4, 84) (dual of [255, 81, 85]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(44, 13, F4, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,4)), using
- linear OA(46, 15, F4, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-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 OOA(4201, 141, F4, 2, 92) (dual of [(141, 2), 81, 93]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4201, 94, F4, 3, 92) (dual of [(94, 3), 81, 93]-NRT-code) | [i] | ||