Information on Result #709568

Linear OA(4258, 1084, F4, 64) (dual of [1084, 826, 65]-code), using construction XX applied to C1 = C([1017,52]), C2 = C([0,57]), C3 = C1 + C2 = C([0,52]), and C∩ = C1 ∩ C2 = C([1017,57]) based on
  1. linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,52}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  2. linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59 [i]
  3. linear OA(4241, 1023, F4, 64) (dual of [1023, 782, 65]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,57}, and designed minimum distance d ≥ |I|+1 = 65 [i]
  4. linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [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(4259, 1085, F4, 64) (dual of [1085, 826, 65]-code) [i]Code Embedding in Larger Space
2Linear OA(4260, 1086, F4, 64) (dual of [1086, 826, 65]-code) [i]
3Linear OOA(4258, 542, F4, 2, 64) (dual of [(542, 2), 826, 65]-NRT-code) [i]OOA Folding