Information on Result #1298849
Linear OA(3172, 198, F3, 84) (dual of [198, 26, 85]-code), using construction X with Varšamov bound based on
- linear OA(3168, 192, F3, 84) (dual of [192, 24, 85]-code), using
- concatenation of two codes [i] based on
- linear OA(2716, 24, F27, 16) (dual of [24, 8, 17]-code or 24-arc in PG(15,27)), using
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- Reed–Solomon code RS(11,27) [i]
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- linear OA(35, 8, F3, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- linear OA(2716, 24, F27, 16) (dual of [24, 8, 17]-code or 24-arc in PG(15,27)), using
- concatenation of two codes [i] based on
- linear OA(3168, 194, F3, 81) (dual of [194, 26, 82]-code), using Gilbert–Varšamov bound and bm = 3168 > Vbs−1(k−1) = 79 438459 359194 313342 736909 881689 619654 849706 940974 609483 597124 581582 554989 438211 [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]
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.