Information on Result #2299089
Linear OA(2223, 271, F2, 82) (dual of [271, 48, 83]-code), using 3 times truncation based on linear OA(2226, 274, F2, 85) (dual of [274, 48, 86]-code), using
- adding a parity check bit [i] based on linear OA(2225, 273, F2, 84) (dual of [273, 48, 85]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(2208, 256, F2, 67) (dual of [256, 48, 68]-code), using Gilbert–Varšamov bound and bm = 2208 > Vbs−1(k−1) = 184 108802 416324 205290 974045 232443 347702 913690 697202 929109 423317 [i]
- linear OA(216, 17, F2, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,2)), using
- dual of repetition code with length 17 [i]
- linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using
- construction X with Varšamov bound [i] based on
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.