Information on Result #708118

Linear OA(4114, 1056, F4, 29) (dual of [1056, 942, 30]-code), using construction XX applied to C1 = C([1019,21]), C2 = C([0,24]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([1019,24]) based on
  1. linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(491, 1023, F4, 25) (dual of [1023, 932, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(4106, 1023, F4, 29) (dual of [1023, 917, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,24}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  4. linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  5. linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
  6. linear OA(43, 13, F4, 2) (dual of [13, 10, 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 OOA(4114, 528, F4, 2, 29) (dual of [(528, 2), 942, 30]-NRT-code) [i]OOA Folding
2Linear OOA(4114, 352, F4, 3, 29) (dual of [(352, 3), 942, 30]-NRT-code) [i]