Information on Result #897458

Linear OOA(937, 377, F9, 2, 12) (dual of [(377, 2), 717, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(96, 10, F9, 2, 6) (dual of [(10, 2), 14, 7]-NRT-code), using
  2. linear OOA(931, 367, F9, 2, 12) (dual of [(367, 2), 703, 13]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(931, 734, F9, 12) (dual of [734, 703, 13]-code), using
      • construction XX applied to C1 = C([727,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([727,10]) [i] based on
        1. linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
        2. linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
        3. linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [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(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
        6. linear OA(90, 3, F9, 0) (dual of [3, 3, 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

None.