Information on Result #707126

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]) based on
  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. linear OA(44, 13, F4, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,4)), using
  6. linear OA(46, 15, F4, 4) (dual of [15, 9, 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:

ResultThis
result
only		Method
1Linear OA(4201, 282, F4, 92) (dual of [282, 81, 93]-code) [i]Truncation
2Linear OA(4199, 280, F4, 90) (dual of [280, 81, 91]-code) [i]
3Linear OA(4198, 279, F4, 89) (dual of [279, 81, 90]-code) [i]
4Linear OA(4196, 277, F4, 87) (dual of [277, 81, 88]-code) [i]
5Linear OA(4194, 275, F4, 85) (dual of [275, 81, 86]-code) [i]
6Linear OA(4193, 274, F4, 84) (dual of [274, 81, 85]-code) [i]
7Linear OOA(4202, 94, F4, 3, 93) (dual of [(94, 3), 80, 94]-NRT-code) [i]OOA Folding