Information on Result #724818

Linear OA(2581, 631, F25, 42) (dual of [631, 550, 43]-code), using construction XX applied to C1 = C([622,38]), C2 = C([0,39]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([622,39]) based on
  1. linear OA(2578, 624, F25, 41) (dual of [624, 546, 42]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−2,−1,…,38}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(2576, 624, F25, 40) (dual of [624, 548, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(2580, 624, F25, 42) (dual of [624, 544, 43]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−2,−1,…,39}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  4. linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
  5. linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
  6. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-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 OA(25106, 697, F25, 42) (dual of [697, 591, 43]-code) [i](u, u+v)-Construction
2Linear OA(25107, 699, F25, 42) (dual of [699, 592, 43]-code) [i]
3Linear OA(25108, 701, F25, 42) (dual of [701, 593, 43]-code) [i]
4Linear OA(25109, 703, F25, 42) (dual of [703, 594, 43]-code) [i]