Information on Result #719151

Linear OA(957, 760, F9, 18) (dual of [760, 703, 19]-code), using construction XX applied to C1 = C([722,9]), C2 = C([0,11]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([722,11]) based on
  1. linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,9}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(949, 728, F9, 18) (dual of [728, 679, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,11}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  4. linear OA(925, 728, F9, 10) (dual of [728, 703, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
  6. linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-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 OOA(957, 380, F9, 2, 18) (dual of [(380, 2), 703, 19]-NRT-code) [i]OOA Folding
2Linear OOA(957, 253, F9, 3, 18) (dual of [(253, 3), 702, 19]-NRT-code) [i]