Information on Result #1324210
Linear OA(4246, 65591, F4, 39) (dual of [65591, 65345, 40]-code), using construction X with Varšamov bound based on
- linear OA(4242, 65585, F4, 39) (dual of [65585, 65343, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(49, 49, F4, 5) (dual of [49, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- linear OA(4242, 65587, F4, 36) (dual of [65587, 65345, 37]-code), using Gilbert–Varšamov bound and bm = 4242 > Vbs−1(k−1) = 18 601072 927201 229833 982541 638144 595066 448221 922347 487290 209380 225315 040081 146516 483639 773426 286665 355282 427304 899262 335996 648721 321960 285836 514232 [i]
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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.