Information on Result #1300572
Linear OA(4185, 267, F4, 87) (dual of [267, 82, 88]-code), using construction X with Varšamov bound based on
- linear OA(4181, 262, F4, 87) (dual of [262, 81, 88]-code), using
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(4180, 256, F4, 87) (dual of [256, 76, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(4175, 256, F4, 85) (dual of [256, 81, 86]-code), using an extension Ce(84) of 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(41, 6, F4, 1) (dual of [6, 5, 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
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(4181, 263, F4, 83) (dual of [263, 82, 84]-code), using Gilbert–Varšamov bound and bm = 4181 > Vbs−1(k−1) = 4 295034 786168 531725 032847 014512 962911 763754 423368 358433 420761 527709 295514 722070 647127 618126 682614 646412 034656 [i]
- linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), using
- dual of repetition code with length 4 [i]
- Reed–Solomon code RS(1,4) [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.