Information on Result #1299999
Linear OA(497, 122, F4, 51) (dual of [122, 25, 52]-code), using construction X with Varšamov bound based on
- linear OA(496, 120, F4, 51) (dual of [120, 24, 52]-code), using
- concatenation of two codes [i] based on
- linear OA(6412, 20, F64, 12) (dual of [20, 8, 13]-code or 20-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- Reed–Solomon code RS(52,64) [i]
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), 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(6412, 20, F64, 12) (dual of [20, 8, 13]-code or 20-arc in PG(11,64)), using
- concatenation of two codes [i] based on
- linear OA(496, 121, F4, 50) (dual of [121, 25, 51]-code), using Gilbert–Varšamov bound and bm = 496 > Vbs−1(k−1) = 3990 993900 665794 601199 245424 656699 772890 074737 419272 257463 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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.