Information on Result #1301064
Linear OA(4239, 297, F4, 123) (dual of [297, 58, 124]-code), using construction X with Varšamov bound based on
- linear OA(4237, 294, F4, 123) (dual of [294, 57, 124]-code), using
- concatenation of two codes [i] based on
- linear OA(6430, 49, F64, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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(6430, 49, F64, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,64)), using
- concatenation of two codes [i] based on
- linear OA(4237, 295, F4, 121) (dual of [295, 58, 122]-code), using Gilbert–Varšamov bound and bm = 4237 > Vbs−1(k−1) = 23897 820817 337676 288746 312708 843804 660466 647691 481874 878291 933597 361607 349240 866995 279014 418611 638699 770896 105817 210256 859536 387149 253079 379296 [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.
Other Results with Identical Parameters
None.
Depending Results
None.