Information on Result #1297753
Linear OA(2251, 467, F2, 60) (dual of [467, 216, 61]-code), using construction X with Varšamov bound based on
- linear OA(2249, 463, F2, 60) (dual of [463, 214, 61]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2248, 461, F2, 60) (dual of [461, 213, 61]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2244, 454, F2, 60) (dual of [454, 210, 61]-code), using
- 1 times truncation [i] based on linear OA(2245, 455, F2, 61) (dual of [455, 210, 62]-code), using
- concatenation of two codes [i] based on
- linear OA(6430, 65, F64, 30) (dual of [65, 35, 31]-code or 65-arc in PG(29,64)), using
- extended Reed–Solomon code RSe(35,64) [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(6430, 65, F64, 30) (dual of [65, 35, 31]-code or 65-arc in PG(29,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2245, 455, F2, 61) (dual of [455, 210, 62]-code), using
- linear OA(2244, 457, F2, 58) (dual of [457, 213, 59]-code), using Gilbert–Varšamov bound and bm = 2244 > Vbs−1(k−1) = 27 087355 756873 462050 282214 558416 280716 548206 803793 197943 360870 346856 760568 [i]
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
- linear OA(2244, 454, F2, 60) (dual of [454, 210, 61]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2248, 462, F2, 59) (dual of [462, 214, 60]-code), using Gilbert–Varšamov bound and bm = 2248 > Vbs−1(k−1) = 366 602512 790188 403574 264043 262781 774835 126727 537672 363418 642483 106499 039920 [i]
- linear OA(20, 1, F2, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(20, s, F2, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(2248, 461, F2, 60) (dual of [461, 213, 61]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2249, 465, F2, 59) (dual of [465, 216, 60]-code), using Gilbert–Varšamov bound and bm = 2249 > Vbs−1(k−1) = 547 068792 136718 942969 546849 709907 145094 827680 314284 283020 818723 239275 498404 [i]
- linear OA(20, 2, F2, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(20, s, F2, 0) (dual of [s, s, 1]-code) for arbitrarily large s (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.
Other Results with Identical Parameters
None.
Depending Results
None.