Information on Result #707013

Linear OA(4144, 282, F4, 49) (dual of [282, 138, 50]-code), using construction XX applied to C1 = C([251,41]), C2 = C([0,44]), C3 = C1 + C2 = C([0,41]), and C∩ = C1 ∩ C2 = C([251,44]) based on
  1. linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,41}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(4137, 255, F4, 49) (dual of [255, 118, 50]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,44}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  4. linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
  5. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
  6. linear OA(43, 11, F4, 2) (dual of [11, 8, 3]-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(4143, 281, F4, 48) (dual of [281, 138, 49]-code) [i]Truncation
2Linear OOA(4144, 141, F4, 2, 49) (dual of [(141, 2), 138, 50]-NRT-code) [i]OOA Folding
3Linear OOA(4144, 94, F4, 3, 49) (dual of [(94, 3), 138, 50]-NRT-code) [i]