Information on Result #708464

Linear OA(4166, 1087, F4, 39) (dual of [1087, 921, 40]-code), using construction XX applied to C1 = C([1017,26]), C2 = C([0,32]), C3 = C1 + C2 = C([0,26]), and C∩ = C1 ∩ C2 = C([1017,32]) based on
  1. linear OA(4126, 1023, F4, 33) (dual of [1023, 897, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,26}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,32}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [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(4167, 1088, F4, 39) (dual of [1088, 921, 40]-code) [i]Code Embedding in Larger Space
2Linear OA(4168, 1089, F4, 39) (dual of [1089, 921, 40]-code) [i]
3Linear OA(4170, 1091, F4, 39) (dual of [1091, 921, 40]-code) [i]