Information on Result #708059

Linear OA(4118, 1066, F4, 29) (dual of [1066, 948, 30]-code), using construction XX applied to C1 = C([1019,20]), C2 = C([1,24]), C3 = C1 + C2 = C([1,20]), and C∩ = C1 ∩ C2 = C([1019,24]) based on
  1. linear OA(491, 1023, F4, 25) (dual of [1023, 932, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(490, 1023, F4, 24) (dual of [1023, 933, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(475, 1023, F4, 20) (dual of [1023, 948, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  5. linear OA(47, 23, F4, 4) (dual of [23, 16, 5]-code), using
  6. linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), 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(4119, 1067, F4, 29) (dual of [1067, 948, 30]-code) [i]Code Embedding in Larger Space
2Linear OA(4120, 1068, F4, 29) (dual of [1068, 948, 30]-code) [i]
3Linear OOA(4118, 533, F4, 2, 29) (dual of [(533, 2), 948, 30]-NRT-code) [i]OOA Folding