Information on Result #706867
Linear OA(4138, 298, F4, 44) (dual of [298, 160, 45]-code), using construction XX applied to C1 = C([250,33]), C2 = C([0,38]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([250,38]) based on
- linear OA(4111, 255, F4, 39) (dual of [255, 144, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(4125, 255, F4, 44) (dual of [255, 130, 45]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,38}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 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), 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(4138, 149, F4, 2, 44) (dual of [(149, 2), 160, 45]-NRT-code) | [i] | OOA Folding | |