Information on Result #641094
Linear OA(4170, 177, F4, 118) (dual of [177, 7, 119]-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(4107, 114, F4, 75) (dual of [114, 7, 76]-code), using
- discarding factors / shortening the dual code based on linear OA(4107, 115, F4, 75) (dual of [115, 8, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), 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(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(4107, 115, F4, 75) (dual of [115, 8, 76]-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.