Information on Result #706843
Linear OA(4133, 294, F4, 43) (dual of [294, 161, 44]-code), using construction XX applied to C1 = C([251,33]), C2 = C([1,38]), C3 = C1 + C2 = C([1,33]), and C∩ = C1 ∩ C2 = C([251,38]) based on
- linear OA(4107, 255, F4, 38) (dual of [255, 148, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,33}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4108, 255, F4, 38) (dual of [255, 147, 39]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,38}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(494, 255, F4, 33) (dual of [255, 161, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(46, 20, F4, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code) (see above)
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(4133, 147, F4, 2, 43) (dual of [(147, 2), 161, 44]-NRT-code) | [i] | OOA Folding | |