MinT - Information on Result #665379

Information on Result #665379

Linear OA(25²⁰, 390650, F₂₅, 5) (dual of [390650, 390630, 6]-code), using generalized (u,Â u+v)-construction based on

linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁰, s, F₂₅, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
  - OA with only one run / dual of code without redundancy [i]
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25⁰, 15626, F₂₅, 0) (dual of [15626, 15626, 1]-code) (see above)
linear OA(25¹, 15626, F₂₅, 1) (dual of [15626, 15625, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(25¹, s, F₂₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]
linear OA(25¹, 15626, F₂₅, 1) (dual of [15626, 15625, 2]-code) (see above)
linear OA(25¹, 15626, F₂₅, 1) (dual of [15626, 15625, 2]-code) (see above)
linear OA(25⁴, 15626, F₂₅, 2) (dual of [15626, 15622, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁴, 16276, F₂₅, 2) (dual of [16276, 16272, 3]-code), using
  - Hamming code H(4,25) [i]
linear OA(25¹³, 15626, F₂₅, 5) (dual of [15626, 15613, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626Â | 25⁶âˆ’1, defining interval IÂ =Â [0,2], and minimum distance dÂ â‰¥ |{−2,−1,0,1,2}|+1Â =Â 6 (BCH-bound) [i]

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.