Information on Result #1299866
Linear OA(462, 80, F4, 33) (dual of [80, 18, 34]-code), using construction X with Varšamov bound based on
- linear OA(461, 78, F4, 33) (dual of [78, 17, 34]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(459, 75, F4, 33) (dual of [75, 16, 34]-code), using
- concatenation of two codes [i] based on
- linear OA(1617, 25, F16, 16) (dual of [25, 8, 17]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 25, using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1617, 25, F16, 16) (dual of [25, 8, 17]-code), using
- concatenation of two codes [i] based on
- linear OA(459, 76, F4, 31) (dual of [76, 17, 32]-code), using Gilbert–Varšamov bound and bm = 459 > Vbs−1(k−1) = 204885 692852 576064 154498 019981 855440 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
- linear OA(459, 75, F4, 33) (dual of [75, 16, 34]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(461, 79, F4, 32) (dual of [79, 18, 33]-code), using Gilbert–Varšamov bound and bm = 461 > Vbs−1(k−1) = 4 175810 356407 553557 496060 579164 832480 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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.