Information on Result #621931
Linear OA(2150, 172, F2, 60) (dual of [172, 22, 61]-code), using construction XX applied toC3 ⊂ D2 ⊂ D1 based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2112, 127, F2, 54) (dual of [127, 15, 55]-code), using augmented code D2 for u = 7 by de Boer and Brouwer [i]
- linear OA(2105, 127, F2, 46) (dual of [127, 22, 47]-code), using augmented code D1 for u = 7 by de Boer and Brouwer [i]
- linear OA(211, 26, F2, 5) (dual of [26, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), using
- linear OA(212, 19, F2, 7) (dual of [19, 7, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
Mode: Constructive and 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.