Information on Result #622066
Linear OA(4103, 110, F4, 66) (dual of [110, 7, 67]-code), using construction XX applied toC2 ⊂ C1 ⊂ C0 based on
- linear OA(483, 85, F4, 67) (dual of [85, 2, 68]-code), using code C2 for u = 4 by de Boer and Brouwer [i]
- linear OA(479, 85, F4, 59) (dual of [85, 6, 60]-code), using code C1 for u = 4 by de Boer and Brouwer [i]
- linear OA(475, 85, F4, 47) (dual of [85, 10, 48]-code), using code C0 for u = 4 by de Boer and Brouwer [i]
- linear OA(48, 13, F4, 6) (dual of [13, 5, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 16, F4, 6) (dual of [16, 8, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(48, 16, F4, 6) (dual of [16, 8, 7]-code), using
- linear OA(411, 12, F4, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,4)), using
- dual of repetition code with length 12 [i]
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.