Information on Result #707743

Linear OA(496, 1074, F4, 22) (dual of [1074, 978, 23]-code), using construction XX applied to C1 = C([1018,12]), C2 = C([1,16]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([1018,16]) based on
  1. linear OA(466, 1023, F4, 18) (dual of [1023, 957, 19]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(460, 1023, F4, 16) (dual of [1023, 963, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  4. linear OA(445, 1023, F4, 12) (dual of [1023, 978, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  5. linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-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 OOA(496, 537, F4, 2, 22) (dual of [(537, 2), 978, 23]-NRT-code) [i]OOA Folding