Information on Result #1300415
Linear OA(4167, 207, F4, 87) (dual of [207, 40, 88]-code), using construction X with Varšamov bound based on
- linear OA(4165, 204, F4, 87) (dual of [204, 39, 88]-code), using
- concatenation of two codes [i] based on
- linear OA(6421, 34, F64, 21) (dual of [34, 13, 22]-code or 34-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(6421, 34, F64, 21) (dual of [34, 13, 22]-code or 34-arc in PG(20,64)), using
- concatenation of two codes [i] based on
- linear OA(4165, 205, F4, 85) (dual of [205, 40, 86]-code), using Gilbert–Varšamov bound and bm = 4165 > Vbs−1(k−1) = 930 038637 495969 164645 609712 734693 059746 505885 253289 602047 017445 113130 162731 684295 863640 084217 094544 [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
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.