MinT - Information on Result #669047

Information on Result #669047

Linear OA(49¹⁵, 117698, F₄₉, 5) (dual of [117698, 117683, 6]-code), using generalized (u,Â u+v)-construction based on

linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(49⁰, s, F₄₉, 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(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49⁰, 2402, F₄₉, 0) (dual of [2402, 2402, 1]-code) (see above)
linear OA(49¹, 2402, F₄₉, 1) (dual of [2402, 2401, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(49¹, s, F₄₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]
linear OA(49¹, 2402, F₄₉, 1) (dual of [2402, 2401, 2]-code) (see above)
linear OA(49¹, 2402, F₄₉, 1) (dual of [2402, 2401, 2]-code) (see above)
linear OA(49³, 2402, F₄₉, 2) (dual of [2402, 2399, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(49³, 2451, F₄₉, 2) (dual of [2451, 2448, 3]-code), using
  - Hamming code H(3,49) [i]
linear OA(49⁹, 2402, F₄₉, 5) (dual of [2402, 2393, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402Â | 49⁴âˆ’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.