Information on Result #1300568
Linear OA(4181, 266, F4, 83) (dual of [266, 85, 84]-code), using construction X with Varšamov bound based on
- linear OA(4180, 264, F4, 83) (dual of [264, 84, 84]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4174, 255, F4, 84) (dual of [255, 81, 85]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(4174, 258, F4, 79) (dual of [258, 84, 80]-code), using Gilbert–Varšamov bound and bm = 4174 > Vbs−1(k−1) = 334 660225 349081 505137 599814 743225 418089 164252 533566 981656 314428 689985 965628 308538 932824 496003 676830 734164 [i]
- 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(4174, 255, F4, 84) (dual of [255, 81, 85]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4180, 265, F4, 82) (dual of [265, 85, 83]-code), using Gilbert–Varšamov bound and bm = 4180 > Vbs−1(k−1) = 1 345401 645130 772237 204145 948432 506650 362660 027857 239442 067248 648680 559585 216708 080524 009409 751417 605058 921776 [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.
Other Results with Identical Parameters
None.
Depending Results
None.