Information on Result #1301117
Linear OA(4249, 4194377, F4, 29) (dual of [4194377, 4194128, 30]-code), using construction X with Varšamov bound based on
- linear OA(4245, 4194372, F4, 29) (dual of [4194372, 4194127, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(413, 68, F4, 6) (dual of [68, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(4245, 4194373, F4, 25) (dual of [4194373, 4194128, 26]-code), using Gilbert–Varšamov bound and bm = 4245 > Vbs−1(k−1) = 400 113667 361601 170625 472744 826746 706142 395606 018963 024382 944765 444333 856590 566985 607272 466092 772305 769787 489371 515764 091726 825237 015183 947715 993896 [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.