Information on Result #703156

Linear OA(341, 252, F3, 12) (dual of [252, 211, 13]-code), using construction XX applied to C1 = C([241,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([241,10]) based on
  1. linear OA(336, 242, F3, 11) (dual of [242, 206, 12]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(336, 242, F3, 11) (dual of [242, 206, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(341, 242, F3, 12) (dual of [242, 201, 13]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  4. linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
  6. linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-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 OA(346, 276, F3, 12) (dual of [276, 230, 13]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(347, 291, F3, 12) (dual of [291, 244, 13]-code) [i]
3Linear OOA(341, 126, F3, 2, 12) (dual of [(126, 2), 211, 13]-NRT-code) [i]OOA Folding
4Linear OOA(341, 84, F3, 3, 12) (dual of [(84, 3), 211, 13]-NRT-code) [i]
5Linear OOA(341, 63, F3, 4, 12) (dual of [(63, 4), 211, 13]-NRT-code) [i]