Information on Result #1302988
Linear OA(8161, 170, F8, 123) (dual of [170, 9, 124]-code), using construction X with Varšamov bound based on
- linear OA(8158, 166, F8, 123) (dual of [166, 8, 124]-code), using
- 2 times truncation [i] based on linear OA(8160, 168, F8, 125) (dual of [168, 8, 126]-code), using
- concatenation of two codes [i] based on
- linear OA(6420, 24, F64, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OA(6420, 24, F64, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(8160, 168, F8, 125) (dual of [168, 8, 126]-code), using
- linear OA(8158, 167, F8, 120) (dual of [167, 9, 121]-code), using Gilbert–Varšamov bound and bm = 8158 > Vbs−1(k−1) = 35366 507423 546970 910856 535981 247494 016403 648002 693833 084042 196824 202221 928460 003291 550513 462545 178546 327112 114021 260778 958970 193255 778841 275328 [i]
- linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using
- dual of repetition code with length 3 [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.
Other Results with Identical Parameters
None.
Depending Results
None.