Information on Result #1300930
Linear OA(4226, 278, F4, 118) (dual of [278, 52, 119]-code), using construction X with Varšamov bound based on
- linear OA(4224, 275, F4, 118) (dual of [275, 51, 119]-code), using
- 1 times truncation [i] based on linear OA(4225, 276, F4, 119) (dual of [276, 51, 120]-code), using
- concatenation of two codes [i] based on
- linear OA(6429, 46, F64, 29) (dual of [46, 17, 30]-code or 46-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(6429, 46, F64, 29) (dual of [46, 17, 30]-code or 46-arc in PG(28,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4225, 276, F4, 119) (dual of [276, 51, 120]-code), using
- linear OA(4224, 276, F4, 116) (dual of [276, 52, 117]-code), using Gilbert–Varšamov bound and bm = 4224 > Vbs−1(k−1) = 709 946446 947409 217320 244813 370119 655385 003841 463558 044521 972139 260508 827484 383880 509542 973954 895097 111534 061335 294158 559577 994387 478784 [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.