Information on Result #641095
Linear OA(4175, 182, F4, 122) (dual of [182, 7, 123]-code), using juxtaposition based on
- linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4112, 119, F4, 79) (dual of [119, 7, 80]-code), using
- discarding factors / shortening the dual code based on linear OA(4112, 120, F4, 79) (dual of [120, 8, 80]-code), using
- concatenation of two codes [i] based on
- linear OA(1620, 24, F16, 19) (dual of [24, 4, 20]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- linear OA(1620, 24, F16, 19) (dual of [24, 4, 20]-code), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(4112, 120, F4, 79) (dual of [120, 8, 80]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.