Information on Result #1300849
Linear OA(4229, 246, F4, 144) (dual of [246, 17, 145]-code), using construction X with Varšamov bound based on
- linear OA(4214, 230, F4, 144) (dual of [230, 16, 145]-code), using
- 27 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]
- 27 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4214, 231, F4, 129) (dual of [231, 17, 130]-code), using Gilbert–Varšamov bound and bm = 4214 > Vbs−1(k−1) = 417 764824 908671 950580 662229 701335 394360 419059 398078 224556 276133 575523 615870 907390 568825 180953 014929 631908 708134 048213 865828 520347 [i]
- linear OA(414, 15, F4, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,4)), using
- dual of repetition code with length 15 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.