Information on Result #708638

Linear OA(4181, 1087, F4, 43) (dual of [1087, 906, 44]-code), using construction XX applied to C1 = C([1017,30]), C2 = C([0,36]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([1017,36]) based on
  1. linear OA(4141, 1023, F4, 37) (dual of [1023, 882, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,30}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(4136, 1023, F4, 37) (dual of [1023, 887, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(4161, 1023, F4, 43) (dual of [1023, 862, 44]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,36}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
  5. linear OA(410, 34, F4, 5) (dual of [34, 24, 6]-code), using
  6. linear OA(410, 30, F4, 5) (dual of [30, 20, 6]-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(4182, 1088, F4, 43) (dual of [1088, 906, 44]-code) [i]Code Embedding in Larger Space
2Linear OA(4183, 1089, F4, 43) (dual of [1089, 906, 44]-code) [i]
3Linear OA(4185, 1091, F4, 43) (dual of [1091, 906, 44]-code) [i]