Information on Result #1301201
Linear OA(4260, 4194377, F4, 30) (dual of [4194377, 4194117, 31]-code), using construction X with Varšamov bound based on
- linear OA(4256, 4194372, F4, 30) (dual of [4194372, 4194116, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(22) [i] based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4188, 4194304, F4, 23) (dual of [4194304, 4194116, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(29) ⊂ Ce(22) [i] based on
- linear OA(4256, 4194373, F4, 26) (dual of [4194373, 4194117, 27]-code), using Gilbert–Varšamov bound and bm = 4256 > Vbs−1(k−1) = 201 385931 261164 455985 799854 075409 371890 273821 353158 415039 976175 205675 646539 174162 197783 026664 733808 780009 098941 211819 511369 529363 257690 832211 188147 998728 [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.