Information on Result #703091

Linear OA(323, 254, F3, 7) (dual of [254, 231, 8]-code), using construction XX applied to C1 = C([120,124]), C2 = C([118,122]), C3 = C1 + C2 = C([120,122]), and C∩ = C1 ∩ C2 = C([118,124]) based on
  1. linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {120,121,122,123,124}, and designed minimum distance d ≥ |I|+1 = 6 [i]
  2. linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {118,119,120,121,122}, and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(321, 242, F3, 7) (dual of [242, 221, 8]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {118,119,…,124}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  4. linear OA(311, 242, F3, 3) (dual of [242, 231, 4]-code or 242-cap in PG(10,3)), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {120,121,122}, and designed minimum distance d ≥ |I|+1 = 4 [i]
  5. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
  6. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code) (see above)

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(323, 127, F3, 2, 7) (dual of [(127, 2), 231, 8]-NRT-code) [i]OOA Folding
2Linear OOA(323, 84, F3, 3, 7) (dual of [(84, 3), 229, 8]-NRT-code) [i]
3Linear OOA(323, 84, F3, 4, 7) (dual of [(84, 4), 313, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row
4Linear OOA(323, 84, F3, 5, 7) (dual of [(84, 5), 397, 8]-NRT-code) [i]