Information on Result #1298864
Linear OA(3171, 200, F3, 82) (dual of [200, 29, 83]-code), using construction X with Varšamov bound based on
- linear OA(3170, 198, F3, 82) (dual of [198, 28, 83]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3169, 196, F3, 82) (dual of [196, 27, 83]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3168, 194, F3, 82) (dual of [194, 26, 83]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3164, 188, F3, 82) (dual of [188, 24, 83]-code), using
- 1 times truncation [i] based on linear OA(3165, 189, F3, 83) (dual of [189, 24, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(2713, 21, F27, 13) (dual of [21, 8, 14]-code or 21-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- linear OA(36, 9, F3, 5) (dual of [9, 3, 6]-code), using
- linear OA(2713, 21, F27, 13) (dual of [21, 8, 14]-code or 21-arc in PG(12,27)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(3165, 189, F3, 83) (dual of [189, 24, 84]-code), using
- linear OA(3164, 190, F3, 79) (dual of [190, 26, 80]-code), using Gilbert–Varšamov bound and bm = 3164 > Vbs−1(k−1) = 1 176427 216886 691545 330355 763998 714770 949137 558925 319751 023770 445822 603353 059091 [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- linear OA(3164, 188, F3, 82) (dual of [188, 24, 83]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3168, 195, F3, 81) (dual of [195, 27, 82]-code), using Gilbert–Varšamov bound and bm = 3168 > Vbs−1(k−1) = 134 575298 842102 332292 957380 502759 801663 212254 220710 583366 532136 497407 371672 350473 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(3168, 194, F3, 82) (dual of [194, 26, 83]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3169, 197, F3, 81) (dual of [197, 28, 82]-code), using Gilbert–Varšamov bound and bm = 3169 > Vbs−1(k−1) = 382 206621 637734 990152 623986 984922 361201 705852 803492 156856 607863 561992 880086 607697 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code) (see above)
- linear OA(3169, 196, F3, 82) (dual of [196, 27, 83]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3170, 199, F3, 81) (dual of [199, 29, 82]-code), using Gilbert–Varšamov bound and bm = 3170 > Vbs−1(k−1) = 1070 816266 051159 559628 600457 915193 065911 460221 684035 428619 916279 647462 114773 934553 [i]
- linear OA(30, 1, F3, 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.