Information on Result #1301382
Linear OA(562, 127, F5, 29) (dual of [127, 65, 30]-code), using construction X with Varšamov bound based on
- linear OA(559, 123, F5, 29) (dual of [123, 64, 30]-code), using
- 3 times truncation [i] based on linear OA(562, 126, F5, 32) (dual of [126, 64, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- 3 times truncation [i] based on linear OA(562, 126, F5, 32) (dual of [126, 64, 33]-code), using
- linear OA(559, 124, F5, 26) (dual of [124, 65, 27]-code), using Gilbert–Varšamov bound and bm = 559 > Vbs−1(k−1) = 99805 411119 318754 002732 476846 141577 096221 [i]
- linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), using
- dual of repetition code with length 3 [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.