Information on Result #708333

Linear OA(4153, 1084, F4, 36) (dual of [1084, 931, 37]-code), using construction XX applied to C1 = C([1017,24]), C2 = C([0,29]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([1017,29]) based on
  1. linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,24}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(4136, 1023, F4, 36) (dual of [1023, 887, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,29}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. 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]
  5. linear OA(410, 34, F4, 5) (dual of [34, 24, 6]-code), using
  6. linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-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(4154, 1085, F4, 36) (dual of [1085, 931, 37]-code) [i]Code Embedding in Larger Space
2Linear OA(4155, 1086, F4, 36) (dual of [1086, 931, 37]-code) [i]
3Linear OOA(4153, 542, F4, 2, 36) (dual of [(542, 2), 931, 37]-NRT-code) [i]OOA Folding