Information on Result #1299952
Linear OA(484, 107, F4, 44) (dual of [107, 23, 45]-code), using construction X with Varšamov bound based on
- linear OA(483, 105, F4, 44) (dual of [105, 22, 45]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(482, 103, F4, 44) (dual of [103, 21, 45]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(480, 100, F4, 44) (dual of [100, 20, 45]-code), using
- concatenation of two codes [i] based on
- linear OA(1615, 25, F16, 14) (dual of [25, 10, 15]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 25, using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [i]
- linear OA(1615, 25, F16, 14) (dual of [25, 10, 15]-code), using
- concatenation of two codes [i] based on
- linear OA(480, 101, F4, 42) (dual of [101, 21, 43]-code), using Gilbert–Varšamov bound and bm = 480 > Vbs−1(k−1) = 946920 962690 720064 506571 353829 857300 408977 091368 [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, using
- linear OA(480, 100, F4, 44) (dual of [100, 20, 45]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(482, 104, F4, 43) (dual of [104, 22, 44]-code), using Gilbert–Varšamov bound and bm = 482 > Vbs−1(k−1) = 19 562524 823866 800568 306724 944527 273314 011004 914312 [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
- linear OA(482, 103, F4, 44) (dual of [103, 21, 45]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(483, 106, F4, 43) (dual of [106, 23, 44]-code), using Gilbert–Varšamov bound and bm = 483 > Vbs−1(k−1) = 54 212207 698232 177187 469611 239490 834795 968153 500672 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code) (see above)
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.