Information on Result #1301060

Linear OA(4260, 277, F4, 167) (dual of [277, 17, 168]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4237, 253, F4, 167) (dual of [253, 16, 168]-code), using
    • 4 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
  2. linear OA(4237, 254, F4, 144) (dual of [254, 17, 145]-code), using Gilbert–VarÅ¡amov bound and bm = 4237 > Vbs−1(k−1) = 24845 546298 068597 176370 862357 781179 169489 062345 737012 462495 980487 550630 554275 959239 678569 598637 319214 933796 459627 768444 063204 771087 555144 543808 [i]
  3. linear OA(422, 23, F4, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,4)), 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4260, 277, F4, 166) (dual of [277, 17, 167]-code) [i]Strength Reduction
2Linear OA(4260, 277, F4, 165) (dual of [277, 17, 166]-code) [i]
3Linear OA(4260, 277, F4, 164) (dual of [277, 17, 165]-code) [i]
4Linear OA(4259, 276, F4, 166) (dual of [276, 17, 167]-code) [i]Truncation
5Linear OA(4255, 272, F4, 162) (dual of [272, 17, 163]-code) [i]