Information on Result #706798
Linear OA(4123, 278, F4, 42) (dual of [278, 155, 43]-code), using construction XX applied to C1 = C([251,36]), C2 = C([1,37]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([251,37]) based on
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,36}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4104, 255, F4, 37) (dual of [255, 151, 38]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4100, 255, F4, 36) (dual of [255, 155, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(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(4123, 139, F4, 2, 42) (dual of [(139, 2), 155, 43]-NRT-code) | [i] | OOA Folding | |